The base size of a primitive diagonal group

Joanna B. Fawcett

Type: Article

Publication Date: 2012-11-30

Citations: 35

DOI: https://doi.org/10.1016/j.jalgebra.2012.11.020

View Publication

Download PDF

Locations

Journal of Algebra - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Bases of primitive permutation groups	2013	Joanna B. Fawcett
+ PDF Chat	On Pyber’s base size conjecture	2015	Timothy C. Burness Ákos Seress
+	On Pyber's base size conjecture	2013	Timothy C. Burness Ákos Seress
+	On Pyber's base size conjecture	2013	Timothy C. Burness Ákos Seress
+	The Minimal Base Size of Primitive Solvable Permutation Groups	1996	Ákos Seress
+ PDF Chat	Base sizes of primitive permutation groups	2021	Mariapia Moscatiello Colva M. Roney‐Dougal
+ PDF Chat	On the minimal degree and base size of finite primitive groups	2024	Fabio Mastrogiacomo
+	Base sizes of primitive groups of diagonal type	2023	Hong Huang
+	Base sizes of primitive groups: bounds with explicit constants	2018	Zoltán Halasi Martin W. Liebeck Attila Maróti
+	Base sizes of primitive groups: bounds with explicit constants	2018	Zoltán Halasi Martin W. Liebeck Attila Maróti
+	Base sizes of primitive groups: Bounds with explicit constants	2018	Zoltán Halasi Martin W. Liebeck Attila Maróti
+ PDF Chat	Minimal degree, base size, order: selected topics on primitive permutation groups	2023	Attila Maróti
+ PDF Chat	Base sizes of primitive groups of diagonal type	2023	Hong Yi Huang
+ PDF Chat	A character theoretic formula for base size	2024	Coen del Valle
+ PDF Chat	Base sizes for primitive groups with soluble stabilisers	2021	Timothy C. Burness
+	Base sizes for primitive groups with soluble stabilisers	2020	Timothy C. Burness
+	A proof of Pyber's base size conjecture	2018	Hülya Duyan Zoltán Halasi Attila Maróti
+	Base sizes of primitive permutation groups	2021	Mariapia Moscatiello Colva M. Roney‐Dougal
+	Base sizes of primitive permutation groups	2021	Mariapia Moscatiello Colva M. Roney‐Dougal
+	The base size of the symmetric group acting on subsets	2024	Coen del Valle Colva M. Roney‐Dougal

Works That Cite This (35)

Action	Title	Year	Authors
+ PDF Chat	On the Burness-Giudici conjecture	2023	Huye Chen Shaofei Du
+ PDF Chat	Base sizes of primitive permutation groups	2021	Mariapia Moscatiello Colva M. Roney‐Dougal
+ PDF Chat	On base sizes for algebraic groups	2017	Timothy C. Burness Robert M. Guralnick Jan Saxl
+	Regular orbits of symmetric and alternating groups	2016	Joanna B. Fawcett E. A. O’Brien Jan Saxl
+ PDF Chat	Permutation groups with restricted stabilizers	2021	Timothy C. Burness Aner Shalev
+ PDF Chat	Primitive permutation IBIS groups	2021	Andrea Lucchini Marta Morigi Mariapia Moscatiello
+	Regular orbits of sporadic simple groups	2018	Joanna B. Fawcett Jürgen Müller E. A. O’Brien Robert A. Wilson
+ PDF Chat	Regular orbits of quasisimple linear groups II	2021	Melissa Lee
+ PDF Chat	On the base size of the symmetric and the alternating group acting on partitions	2021	Joy Morris Pablo Spiga
+ PDF Chat	Regular orbits of quasisimple linear groups I	2021	Melissa Lee

Works Cited by This (43)

Action	Title	Year	Authors
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck
+	On groups with no regular orbits on the set of subsets	1984	Peter J‎. Cameron Peter Neumann Jan Saxl
+ PDF Chat	On base sizes for actions of finite classical groups	2007	Timothy C. Burness
+	Minimal permutation representations of finite simple exceptional groups of typesG 2 andF 4	1996	A. V. Vasilyev
+	Bases for Primitive Permutation Groups and a Conjecture of Babai	1998	David Gluck Ákos Seress Aner Shalev
+	The Minimal Base Size of Primitive Solvable Permutation Groups	1996	Ákos Seress
+	Upper Bounds for the Number of Conjugacy Classes of a Finite Group	1997	Martin W. Liebeck László Pyber
+ PDF Chat	Random Permutations: Some Group-Theoretic Aspects	1993	Peter J‎. Cameron William M. Kantor
+	Generation of classical groups	1994	Gunter Malle Jan Saxl Thomas Weigel
+	Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups	1993	V. D. Mazurov