Subgroups and Homology of Extensions of Centralizers of Pro-p Groups
classification
🧮 math.GR
keywords
groupspro-subgroupscentralizershomologyasymptoticbehaviordimensions
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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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