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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.

Linear bounds for levels of stable rationality

81%

Bogomolov F., Böhning C., Graf von Bothmer H.-C.

Open Mathematics

2012

tom 10

nr 2

466-520

Let G be one of the groups SLn(ℂ), Sp2n (ℂ), SOm(ℂ), Om(ℂ), or G 2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G × ℙN is rational. In this paper we improve known bounds for the levels of stable rationality for the quotients V/G. In particular, their growth as functions of the rank of the group is linear for G being one of the classical groups.

Ograniczanie wyników

2 Open Mathematics

2 Bogomolov F.

2 Böhning C.

1 Graf von Bothmer H.-C.

1 2014

1 2012

Wyniki wyszukiwania

Stable cohomology of alternating groups

Linear bounds for levels of stable rationality