Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups
Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 825-844
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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 nontorsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.
Francoeur, Dominik; Thillaisundaram, Anitha. Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups. Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 825-844. doi: 10.4153/S0008439521000898
@article{10_4153_S0008439521000898,
author = {Francoeur, Dominik and Thillaisundaram, Anitha},
title = {Maximal subgroups of nontorsion {Grigorchuk{\textendash}Gupta{\textendash}Sidki} groups},
journal = {Canadian mathematical bulletin},
pages = {825--844},
year = {2022},
volume = {65},
number = {4},
doi = {10.4153/S0008439521000898},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000898/}
}
TY - JOUR AU - Francoeur, Dominik AU - Thillaisundaram, Anitha TI - Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups JO - Canadian mathematical bulletin PY - 2022 SP - 825 EP - 844 VL - 65 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000898/ DO - 10.4153/S0008439521000898 ID - 10_4153_S0008439521000898 ER -
%0 Journal Article %A Francoeur, Dominik %A Thillaisundaram, Anitha %T Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups %J Canadian mathematical bulletin %D 2022 %P 825-844 %V 65 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000898/ %R 10.4153/S0008439521000898 %F 10_4153_S0008439521000898
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