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Inertia of retracts in Demushkin groups

Published 4 Nov 2021 in math.GR | (2111.03060v1)

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.

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