Expansion in Finite Simple Groups of Lie Type

Type: Book

Publication Date: 2015-04-15

Citations: 95

DOI: https://doi.org/10.1090/gsm/164

Abstract

Expansion in Cayley graphs Expander graphs: Basic theory Expansion in Cayley graphs, and Kazhdan's property (T) Quasirandom groups The Balog-Szemeredi-Gowers lemma, and the Bourgain-Gamburd expansion machine Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality Non-concentration in subgroups Sieving and expanders Related articles Cayley graphs the algebra of groups The Lang-Weil bound The spectral theorem and its converses for unbounded self-adjoint operators Notes on Lie algebras Notes on groups of Lie type Bibliography Index

Locations

  • Graduate studies in mathematics - View - PDF
  • arXiv (Cornell University) - View - PDF
  • arXiv (Cornell University) - PDF
  • CiteSeer X (The Pennsylvania State University) - View - PDF
  • Graduate studies in mathematics - View - PDF
  • arXiv (Cornell University) - View - PDF
  • arXiv (Cornell University) - PDF
  • CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action Title Year Authors
+ Expansion in finite simple groups of Lie type 2013 Emmanuel Breuillard
Ben Green
Robert M. Guralnick
Terence Tao
+ PDF Expansion in finite simple groups of Lie type 2015 Emmanuel Breuillard
Ben J. Green
Robert M. Guralnick
Terence Tao
+ PDF Expanders In Group Algebras 2004 Roy Meshulam
Avi Wigderson
+ PDF Chat Expanders and growth of normal subsets in finite simple groups of Lie type 2024 Saveliy V. Skresanov
+ Sieve in expansion 2010 Emmanuel Kowalski
+ Strongly dense free subgroups of semisimple algebraic groups 2010 Emmanuel Breuillard
Ben Green
Robert M. Guralnick
Terence Tao
+ Sieve in expansion 2010 Emmanuel Kowalski
+ APPROXIMATION PROPERTIES FOR GROUPS AND VON NEUMANN ALGEBRAS 2014 Søren Knudby
+ PDF Book Review: Expansion in finite simple groups of Lie type 2018 Alexander Lubotzky
+ Expansion in simple groups 2018 Emmanuel Breuillard
Alexander Lubotzky
+ Expansion in simple groups 2018 Emmanuel Breuillard
Alexander Lubotzky
+ PDF Lie Methods in Growth of Groups and Groups of Finite Width 2000 Laurent Bartholdi
Rostislav Grigorchuk
+ Lattices in Semisimple Lie Groups: The Density Theorem of Borel 1972 M. S. Raghunathan
+ PDF Chat Analysis on simple Lie groups and lattices 2023 Mikael de la Salle
+ Growth of Algebras 2009 Luis Angel Herrera Flores
Brittany Schlomer
Brandon George
+ PDF Growth of algebras 1999 GĂĽnter Krause
T. H. Lenagan
+ PDF Expansion in Cayley graphs, and Kazhdan’s property (T) 2015 Terence Tao
+ Expanders and Related Results 2011 Shotaro Makisumi
+ PDF Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II 2009 Jean Bourgain
Alex Gamburd
+ Restricted Lie algebras with subexponential growth 2006 D. Riley
Hamid Usefi