Permutation complexes for profinite groups

• Autores: Peter Symonds
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 1, 2007, págs. 1-37
• Idioma: inglés
• DOI: 10.4171/cmh/83
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• Resumen

  • 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