Maximal subgroups of countable groups: a survey

Tsachik Gelander; Yair Glasner; Gregory Soifer

doi:10.7208/chicago/9780226804163.001.0001

Maximal subgroups of countable groups: a survey

Tsachik Gelander, Yair Glasner, Gregory Soifer

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This paper is a survey on the works of Margulis and Soifer on maximal subgroups in finitely generated linear groups, and the works that followed it, concerning maximal subgroups of infinite index in linear groups as well as in various other groups possessing a suitable geometry or dynamics.

Original language	English
Title of host publication	Dynamics, geometry, number theory: the impact of Margulis on modern mathematics.
Publisher	University of Chicago Press
Pages	169-210
Number of pages	42
ISBN (Electronic)	9780226804163
ISBN (Print)	9780226804026
DOIs	https://doi.org/10.7208/chicago/9780226804163.001.0001
State	Published - 2022

Keywords

Maximal Subgroups
Free Subgroups
Arithmetic Groups
Linear Groupsy Israel Science Foundation grant ISF 2919/19.

Access to Document

10.7208/chicago/9780226804163.001.0001

Cite this

@inbook{f06d54608c764cb7a0da39630876ce15,

title = "Maximal subgroups of countable groups: a survey",

abstract = "This paper is a survey on the works of Margulis and Soifer on maximal subgroups in finitely generated linear groups, and the works that followed it, concerning maximal subgroups of infinite index in linear groups as well as in various other groups possessing a suitable geometry or dynamics.",

keywords = "Maximal Subgroups, Free Subgroups, Arithmetic Groups, Linear Groupsy Israel Science Foundation grant ISF 2919/19.",

author = "Tsachik Gelander and Yair Glasner and Gregory Soifer",

year = "2022",

doi = "10.7208/chicago/9780226804163.001.0001",

language = "English",

isbn = "9780226804026",

pages = "169--210",

booktitle = "Dynamics, geometry, number theory: the impact of Margulis on modern mathematics.",

publisher = "University of Chicago Press",

address = "United States",

}

TY - CHAP

T1 - Maximal subgroups of countable groups: a survey

AU - Gelander, Tsachik

AU - Glasner, Yair

AU - Soifer, Gregory

PY - 2022

Y1 - 2022

N2 - This paper is a survey on the works of Margulis and Soifer on maximal subgroups in finitely generated linear groups, and the works that followed it, concerning maximal subgroups of infinite index in linear groups as well as in various other groups possessing a suitable geometry or dynamics.

AB - This paper is a survey on the works of Margulis and Soifer on maximal subgroups in finitely generated linear groups, and the works that followed it, concerning maximal subgroups of infinite index in linear groups as well as in various other groups possessing a suitable geometry or dynamics.

KW - Maximal Subgroups

KW - Free Subgroups

KW - Arithmetic Groups

KW - Linear Groupsy Israel Science Foundation grant ISF 2919/19.

U2 - 10.7208/chicago/9780226804163.001.0001

DO - 10.7208/chicago/9780226804163.001.0001

M3 - Chapter

SN - 9780226804026

SP - 169

EP - 210

BT - Dynamics, geometry, number theory: the impact of Margulis on modern mathematics.

PB - University of Chicago Press

ER -

Maximal subgroups of countable groups: a survey

Abstract

Keywords

Access to Document

Fingerprint

Cite this