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Stable cohomology of alternating groups

100%

Bogomolov F., Böhning C.

Open Mathematics

2014

tom 12

nr 2

212-228

We determine the stable cohomology groups ($$H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-\nulldelimiterspace} {p\mathbb{Z}}}} \right)$$ of the alternating groups $$\mathfrak{A}_n$$ for all integers n and i, and all odd primes p.

On Poincaré duality for pairs (G,W)

100%

Andrade M. G. C., Fanti E. d. L. C., Fêmina L. L.

Open Mathematics

2015

tom 13

nr 1

Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincaré duality pair (G, W ), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We also prove, through a cohomological invariant, a necessary condition for a pair (G, W ) to be a Poincaré duality pair when W is infinite.

Ograniczanie wyników

2 Open Mathematics

1 Andrade M. G. C.

1 Bogomolov F.

1 Böhning C.

1 Fanti E. d. L. C.

1 Fêmina L. L.

1 2015

1 2014

Wyniki wyszukiwania

Stable cohomology of alternating groups

On Poincaré duality for pairs (G,W)