The congruence subgroup property for multi-EGS groups

Anitha Thillaisundaram (University of Lincoln)

22-Oct-2020, 15:00-16:00 (3 years ago)

Abstract: It was proved by G. A. Fernández-Alcober, A. Garrido and J. Uria-Albizuri that the branch Grigorchuk-Gupta-Sidki (GGS) groups possess the congruence subgroup property. This result was extended to all branch multi-GGS groups by A. Garrido and J. Uria-Albizuri. The extended Gupta-Sidki (EGS) groups, which were the first examples of finitely generated branch groups without the congruence subgroup property, were constructed by Pervova. In this talk, we consider a natural generalisation of multi-GGS and EGS groups, and demonstrate their unexpected behaviour concerning the congruence subgroup property. This is joint work with J. Uria-Albizuri.

group theory

Audience: researchers in the topic


GOThIC - Ischia Online Group Theory Conference

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