The congruence subgroup property for multi-EGS groups
Anitha Thillaisundaram (University of Lincoln)
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
Series comments: Please send a message to andrea.caranti@unitn.it to receive a link to the Zoom room where the conference (a series of talks, actually) takes place.
Organizer: | Andrea Caranti* |
*contact for this listing |