Subgroups and homology of extensions of centralizers of pro‐ p  groups | Zendy

Kochloukova Dessislava | Zendy; Zalesskii Pavel | Zendy

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Subgroups and homology of extensions of centralizers of pro‐ p groups

Author(s) -

Kochloukova Dessislava,

Zalesskii Pavel

Publication year - 2015

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201400104

Subject(s) - mathematics , abelian group , finitely generated abelian group , homology (biology) , locally finite group , pure mathematics , normal subgroup , combinatorics , property (philosophy) , group (periodic table) , amino acid , chemistry , biochemistry , philosophy , organic chemistry , epistemology

We study the growth of dim H j ( U , F p ) , where U is an open subgroup of G ∈ L and L is a special class of pro‐ p groups defined in [7][D. Kochloukova, 2011]. 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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