SU\G(𝔾)/K·U
Mathematics â€ș Discrete Mathematics and Combinatorics

Finite Group Theory Research

Works Count: 52611

Description

This cluster of papers focuses on the study of finite groups, their representations, and associated graphs such as Cayley graphs and distance-regular graphs. It also explores topics like character degrees, fusion systems, and linear transformations in the context of finite group theory.

Keywords

Finite Groups; Graphs; Character Degrees; Cayley Graphs; Association Schemes; Linear Transformations; Distance-Regular Graphs; Fusion Systems; Tridiagonal Pairs; Representation Theory

Most Cited Works

Action Title Date Authors
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Character theory of finite groups 1999-07-01 I. M. Isaacs
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Functoriality for the exterior square of đș𝐿₄ and the symmetric fourth of đș𝐿₂ 2002-10-30 Henry Kim
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Representation Theory of Finite Groups 1965-01-01 Walter Feit
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Buildings of Spherical Type and Finite BN-Pairs 1974-01-01 Jacques Tits
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SIMPLE GROUPS OF LIE TYPE 1975-03-01 I. G. Macdonald
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Word Processing in Groups 1992-11-02 D. B. A. Epstein
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Lectures on Chevalley Groups 2016-12-20 Robert Steinberg
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The Classification of the Finite Simple Groups 1994-11-18 Daniel Gorenstein Richard Lyons Ronald Solomon
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Finite Generalized Quadrangles 2009-04-08 Stanley E. Payne J. A. Thas
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Linear Algebraic Groups 1998-01-01 T. A. Springer
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Polynomial representations of GLn 1981-01-01 James Green
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On the maximal subgroups of the finite classical groups 1984-10-01 Michael Aschbacher
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Isomorphism of graphs of bounded valence can be tested in polynomial time 1982-08-01 Eugene M. Luks
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Rational isogenies of prime degree 1978-06-01 Barry Mazur Dorian Goldfeld
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Affine Hecke algebras and their graded version 1989-01-01 G. Lusztig
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A theorem in finite projective geometry and some applications to number theory 1938-01-01 James Singer
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Compact matrix pseudogroups 1987-12-01 S. L. Woronowicz
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Free subgroups in linear groups 1972-02-01 Jacques Tits
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Groupes réductifs sur un corps local 1984-12-01 François Bruhat Jacques Tits
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Finite Permutation Groups. 1966-08-01 Franklin Haimo Helmut Wielandt
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Generators and Relations for Discrete Groups 1972-01-01 H. S. M. Coxeter W. O. J. Moser
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Regular elements of semisimple algebraic groups 1965-12-01 Robert Steinberg
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Symplectic structure of the moduli space of sheaves on an abelian or K3 surface 1984-02-01 Shigeru Mukai
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The primes contain arbitrarily long arithmetic progressions 2008-03-01 Benjamin Green Terence Tao
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On a Class of Doubly Transitive Groups: II 1964-05-01 Michio Suzuki
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Projective Geometries over Finite Fields 1998-01-08 J. W. P. Hirschfeld
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Automorphic Forms on GL (2) 1970-01-01 H. Jacquet R. P. Langlands
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The properties of the thirty-two point groups 1964-10-01 Rose Elliott
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Invariants of Finite Groups Generated by Reflections 1955-10-01 Claude Chevalley
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Arithmetic Subgroups of Algebraic Groups 1962-05-01 Armand Borel Harish-chandra Harish-Chandra
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On Some Types of Topological Groups 1949-07-01 Kenkichi Iwasawa
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Partial differential equations of parabolic type 1965-06-01 John S. Maybee
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Induced Representations of Locally Compact Groups I 1952-01-01 George W. Mackey
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Clifford Algebra and Spinor-Valued Functions 1992-01-01 Richard Delanghe F. Sommen Vladimı́r Souček
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Finite Groups III 1982-01-01 Bertram Huppert Norman Blackburn
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REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29) 1991-09-01 R. W. Carter
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FINITE GROUPS OF LIE TYPE Conjugacy classes and complex characters 1987-05-01 J. A. Green
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Finite Permutation Groups 1964-01-01
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Representations of Reductive Groups Over Finite Fields 1976-01-01 Pierre Deligne G. Lusztig
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Groupes Réductifs Sur Un Corps Local 1972-12-01 François Bruhat Jacques Tits
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Clifford modules 1964-07-01 Michael Atiyah R. Bott Alexander Shapiro
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On a Class of Doubly Transitive Groups 1962-01-01 Michio Suzuki
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Permutation Groups 1996-01-01 John D. Dixon Brian Mortimer
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Ramanujan graphs 1988-09-01 Alexander Lubotzky Ralph S. Phillips Peter Sarnak
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Theory of Groups of Finite Order 1911-12-01 G. B. M.
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Character Theory of Finite Groups 1976-01-01
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Seminar on Algebraic Groups and Related Finite Groups 1970-01-01 Armand Borel Rayna J. Carter C. W. Curtis Nagayoshi Iwahori T. A. Springer Richard H. Steinberg
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Introduction to Affine Group Schemes 1979-01-01 William C. Waterhouse
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The Selberg Trace Formula for PSL(2,ℝ) 1983-01-01 Dennis A. Hejhal
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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$ 1980-01-01 Andrei Zelevinsky

Most Recent Works

Action Title Date Authors
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Finite Groups with Certain $\mathcal{SSH}$-subgroups 2025-05-01 A. S. Allehyani
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Characterization of Multiplicative Mixed Jordan-Type Derivations on Ring with Involution 2025-05-01 Md Arshad Madni Muzibur Rahman Mozumder Abu Zaid Ansari Faiza Shujat
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Levi classes of quasivarieties of 2-nilpotent groups 2025-05-02 S. A. Shakhova
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Some properties of compressed zero-divisor graph 2025-05-02 A. S. Monastyreva
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The finite groups with three automorphism orbits 2025-05-01 Cai Heng Li Yan Zhou Zhu
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Affine groups as flag-transitive and point-primitive automorphism groups of symmetric designs 2025-05-02 Seyed Hassan Alavi Mohsen Bayat Ashraf Daneshkhah Alessandro Montinaro
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Corrigendum to “Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras” [J. Pure Appl. Algebra 227(4) (2023) 107281] 2025-05-02 Zhekun He Jun Hu Huang Lin
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Construction of Low-Dimensional Lie Algebras versus Eigenproblem 2025-05-02 Alina Dobrogowska Marzena Szajewska
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Remarks about inhomogeneous pair correlations – CORRIGENDUM 2025-05-02 Felipe A. Ramírez
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Diagram supermodules for 0-Hecke–Clifford algebras 2025-05-03 Dominic Searles
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Wielandt 𝔛 -Subgroups 2025-05-03 D. O. Revin
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Lower and Upper Acyclicities on Unitary Cayley Graphs of Finite Commutative Rings 2025-05-02 Denpong Pongpipat Nuttawoot Nupo
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CHAPTER 2 Some basic facts about monodromy groups 2025-05-04
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Caristi and Some Related Theorems on $\bigcap$-Complete Regular Symmetric Spaces: A Novel Method 2025-05-05 Hamid Mottaghi Golshan
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Fixed‐point ratios, Sylow numbers, and coverings of p$p$‐elements in finite groups 2025-05-01 Robert M. Guralnick Attila MarĂłti Juan JosĂ© Prieto MartĂ­nez Alexander MoretĂł Noelia Rizo
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Groups with triangle‐free graphs on p$p$‐regular classes 2025-05-04 MarĂ­a JosĂ© Felipe M. K. Jean‐Philippe VĂ­ctor Sotomayor
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Simplicial complexes associated to character degrees of solvable groups 2025-05-05 Aleksandra Kostić Nela Miloơević Zoran Z. Petrović
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On the motivic description of truncated fundamental group rings 2025-05-03 Eduard Looijenga
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A Block Structure for Cocyclic Hadamard Matrices of Order 8p 2025-05-05 Santiago Barrera Acevedo Heiko Dietrich Kshitija Vaidya
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The $$A_{\alpha }$$-spectral radius for $$\{P_{2}, C_{3}, P_{5}, \mathcal {T}(3)\}$$-factors in graphs 2025-05-06 Xiaoyun Lv Jianxi Li Shou‐Jun Xu
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$$\mathbb {F}_2\mathbb {F}_4$$-skew cyclic codes 2025-05-06 Roghayeh Mohammadi Hesari Mustafa Sarı İsmail Aydoğdu
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Cyclotomic primes 2025-05-01 Carl Pomerance
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Uniformly semi-rational simple groups 2025-05-06 Marco Vergani
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On cubic polycirculant nut graphs 2025-05-06 Nino Baơić Ivan Damnjanović
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Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture 2025-05-01 Victor Zhenyu Guo Yuan Yi
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The small value set polynomials over finite fields and monodromy groups 2025-05-01 Xiantao Deng Bin Xu Quanmin Zhu
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Tetragonal modular quotients <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2025-05-01 Petar Orlić
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On the signed Selmer groups for motives at non-ordinary primes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>-extensions 2025-05-01 Jishnu Ray Florian Sprung
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Restricted free products of Demushkin groups of rank â„”0 as absolute Galois groups 2025-05-01 Tamar Bar‐On
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Permutation Groups 2025-05-06 William Paulsen
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3-Selmer groups, ideal class groups and the cube sum problem 2025-05-01 Somnath Jha Dipramit Majumdar Pratiksha Shingavekar
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On K-moduli of quartic threefolds 2025-05-01 Hamid Abban Ivan Cheltsov Alexander Kasprzyk Yuchen Liu Andrea Petracci
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The $H^{\infty}$-functional calculus for bisectorial Clifford operators 2025-05-06 Francesco Mantovani Peter Schlosser
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Exhaustive Generation of Edge-Girth-Regular Graphs 2025-05-06 Jan Goedgebeur Jorik Jooken
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Algebraic degrees of n-Cayley digraphs over abelian groups 2025-05-01 Hao Li Xiaogang Liu
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Symmetric Cayley graphs on non-abelian simple groups of valency 7 2025-05-01 Xing Zhang Yan‐Quan Feng Fu‐Gang Yin Hong Wang
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Finite Groups with Geodetic Cayley Graphs 2025-05-07 Murray Elder Adam Piggott Florian Stober Alexander Thumm A. Weiss
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On the decomposition of quadratic pairs in characteristic two 2025-05-08 L. Jamshidi A.‐H. Nokhodkar
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On the b-symbol weights of linear codes for large b 2025-05-08 Dongmei Huang Qunying Liao Gaohua Tang Shixin Zhu
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Products of involutions in symplectic groups over general fields (II): Finite fields 2025-05-08 Clément de Seguins Pazzis
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Highly symmetric lines 2025-05-01 Ganzhinov Mikhail
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On the domination number of proper power graphs of finite groups 2025-05-09 Sudip Bera Hiranya Kishore Dey Kamal Lochan Patra Binod Kumar Sahoo
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A Rasmussen invariant for links in ℝℙ³ 2025-05-09 Ciprian Manolescu Michael Willis
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On weakly E-supplemented subgroups of finite groups 2025-05-09 Mohamed Asaad
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On central partial difference sets in non-abelian p-groups 2025-05-01 Wendi Di Zhiwen He
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$M_{p}$ -GROUPS AND BRAUER CHARACTER DEGREES 2025-05-09 Xiaoyou Chen Mark L. Lewis
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On Product Schur Triples in the Integers 2025-05-09 LetĂ­cia Mattos Domenico Mergoni Cecchelli Olaf Parczyk
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On the connections between the low dimensional homology groups of SL <sub>2</sub> and PSL <sub>2</sub> 2025-05-10 Behrooz Mirzaii Elvis Torres PĂ©rez
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Classification of <i>λ</i> -homomorphic braces on â„€ <sup>2</sup> 2025-05-10 Timur Nasybullov I. Novikov
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Characterizations for minimal codes: graph theory approach and algebraic approach over finite chain rings 2025-05-10 Makhan Maji Sihem Mesnager Santanu Sarkar Kalyan Hansda