Seminario Teoría de grupos

7 de noviembre de 2022

11:00 Aula Naranja ICMAT

Speaker: Andoni Zozaya Ursuegui (University of the Basque Country)

Title: Verbal conciseness in profinite R-analytic groups

Abstract: A word w is said to be concise in a class C of groups if, for every group G in C such that w takes finitely many values in G, the verbal subgroup w(G) is finite.

There are few known classes of groups where all words are concise, and in this talk, we present a class of profinite groups, namely profinite R-analytic groups, with that property. These groups comprise an abstract group together with a manifold analytic structure over a general pro-p domain R in such a way that both structures are compatible.