Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups
(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.
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https://lup.lub.lu.se/record/ac305c49-1676-4303-b701-67ee6b965a8f
- author
- Francoeur, Dominik and Thillaisundaram, Anitha LU
- organization
- publishing date
- 2022
- 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}}, }