Permutation complexes for profinite groups | Zendy

Peter Symonds | Zendy

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Permutation complexes for profinite groups

Author(s) -

Peter Symonds

Publication year - 2007

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/83

Subject(s) - profinite group , mathematics , contractible space , cohomological dimension , cohomology , pure mathematics , permutation group , connection (principal bundle) , permutation (music) , algebraic number , group (periodic table) , finite group , algebra over a field , combinatorics , mathematical analysis , geometry , chemistry , physics , organic chemistry , acoustics

An important tool in the analysis of discrete groups of finite virtual cohomological dimension is the existence of a finite dimensional contractible CW-complex on which the group acts with finite stabilizers. We develop a purely algebraic analogue for profinite groups. This enables us to reveal the connection between finiteness conditions on the cohomology of the group and those on the normalizers of the finite p-subgroups.

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