2014
DOI: 10.1002/mana.201400104
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Subgroups and homology of extensions of centralizers of pro-pgroups

Abstract: We study the growth of dimHj(U,Fp), where U is an open subgroup of G∈L and scriptL is a special class of pro‐p groups defined in . Furthermore for G∈L non‐abelian we prove the core property: for pro‐p subgroups N≤H≤G such that H is finitely generated and N is non‐trivial normal in G the index [G:H] is always finite.

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Cited by 6 publications
(3 citation statements)
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“…By [15] the non-abelian groups of the class L satisfy the general core property i.e. (5•2) without the assuming that B i /K i is procyclic.…”
Section: Corollary 3•5 Let G = M N Be a Non-trivial Finitely Generatmentioning
confidence: 99%
“…By [15] the non-abelian groups of the class L satisfy the general core property i.e. (5•2) without the assuming that B i /K i is procyclic.…”
Section: Corollary 3•5 Let G = M N Be a Non-trivial Finitely Generatmentioning
confidence: 99%
“…The purpose of this note is to investigate the following question which was raised by D.H. Kochloukova and P.A. Zalesskii in [14], where they answered the analogous question for pro-p limit groups.…”
Section: Introductionmentioning
confidence: 98%
“…Some other works that study discrete and profinite groups through the numbers of generators of finite index subgroups are [1,2,9,15,16,17,18,23,26,29,30,31].…”
Section: Introductionmentioning
confidence: 99%