Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups

Francoeur, Dominik and Thillaisundaram, Anitha LU (2022) In Canadian Mathematical Bulletin 65(4). p.825-844
Abstract

A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the p-regular rooted tree for an odd prime p, generated by one rooted automorphism and one directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups of infinite index. Here we extend the result to non-torsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Branch groups, GGS-groups, Maximal subgroups
in
Canadian Mathematical Bulletin
volume
65
issue
4
pages
825 - 844
publisher
Canadian Mathematical Society
external identifiers
  • scopus:85119195387
ISSN
0008-4395
DOI
10.4153/S0008439521000898
language
English
LU publication?
yes
id
ac305c49-1676-4303-b701-67ee6b965a8f
date added to LUP
2022-01-04 14:55:24
date last changed
2023-01-16 10:17:37
@article{ac305c49-1676-4303-b701-67ee6b965a8f,
  abstract     = {{<p>A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the p-regular rooted tree for an odd prime p, generated by one rooted automorphism and one directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups of infinite index. Here we extend the result to non-torsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group. </p>}},
  author       = {{Francoeur, Dominik and Thillaisundaram, Anitha}},
  issn         = {{0008-4395}},
  keywords     = {{Branch groups; GGS-groups; Maximal subgroups}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{825--844}},
  publisher    = {{Canadian Mathematical Society}},
  series       = {{Canadian Mathematical Bulletin}},
  title        = {{Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups}},
  url          = {{http://dx.doi.org/10.4153/S0008439521000898}},
  doi          = {{10.4153/S0008439521000898}},
  volume       = {{65}},
  year         = {{2022}},
}