Subgroups and Homology of Extensions of Centralizers of Pro-p Groups

Published 10 Sep 2013 in math.GR | (1309.2569v1)

Abstract: We study asymptotic behavior of the dimensions of the homology groups of subgroups of finite index in finitely generated subgroups of pro-$p$ extension of centralizers of free pro-$p$ groups. We also prove group theoretic structure properties of such pro-$p$ groups that are of independent interest.

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