Inertia of retracts in Demushkin groups
Group Theory
2024-02-23 v1
Abstract
Exploring inequalities regarding the rank and relation gradients of pro-p modules and building upon recent results of Y. Antol\'in, A. Jaikin-Zapiran and M. Shusterman, we prove that every retract of a Demushkin group is inert in the sense of the Dicks-Ventura Inertia Conjecture.
Keywords
Cite
@article{arxiv.2111.03060,
title = {Inertia of retracts in Demushkin groups},
author = {Henrique Souza},
journal= {arXiv preprint arXiv:2111.03060},
year = {2024}
}
Comments
7 pages, this result appeared in the author's M.Sc. dissertation