Inertia of retracts in Demushkin groups
arXiv:2111.03060 · doi:10.1515/jgth-2022-0055
Abstract
Exploring inequalities regarding the rank and relation gradients of pro-p modules and building upon recent results of Y. Antolín, 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.
arXiv comment7 pages, this result appeared in the author's M.Sc. dissertation