Zero-Dimensional Symmetry Seminar

2:00 pm

Tuesday, 16th Oct 2018

LG 17, McMullin

Dr Alejandra Garrido

(The University of Newcastle)

Maximal subgroups of some groups of intermediate growth

Given a group one of the most natural things one can study about it is its subgroup lattice, and the maximal subgroups take a prominent role. If the group is infinite, one can ask whether all maximal subgroups have finite index or whether there are some (and how many) of infinite index. After telling some historical developments on this question, I will motivate the study of maximal subgroups of groups of intermediate growth and report on joint work with Dominik Francoeur where we give a complete description of all maximal subgroups of some "siblings" of Grigorchuk's group.