3 papers
math.GR2022
Computing a spectral sequence of finite Heisenberg groups of prime power order
Oihana Garaialde Ocaña, Lander Guerrero Sánchez
Let be a prime number, let be a natural number and let denote the Heisenberg group modulo . We study the Lyndon-Hochschild-Serre spectra…
math.AT2020
A family of finite p-groups satisfying Carlson's conjecture
Oihana Garaialde Ocaña, Lander Guerrero Sánchez, Jon González-Sánchez
Let p>3 be a prime number and let r be an integer with 1<r<p-1. For each r, let moreover G_r denote the unique quotient of the maximal class pro-p group of size p^{r+1}. We show th…
math.GR2019
Quasitilings and Applications
Lander Guerrero Sánchez
This thesis aims to serve as an introduction to the theory of quasitilings for amenable groups. In order to showcase the power of this theory, we focus on the study of the Sofic Lü…