Group cohomology - Open Access .click

Mathematical Logic Quarterly, 1995
AbstractDan Talayco has recently defined the gap cohomology group of a tower in p(ω)/fin of height ω1. This group is isomorphic to the collection of gaps in the tower modulo the equivalence relation given by two gaps being equivalent (cohomologous) if their levelwise symmetric difference is not a gap in the tower, the group operation being levelwise ...
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The Cohomology of Extraspecial Groups

Bulletin of the London Mathematical Society, 1992
This article is devoted to the cohomology of extraspecial \(p\)-groups. The authors point out the following purposes of the article: to provide a coherent and simplified account of much of the work which has been done in this area; to explain the current state of knowledge; to demonstrate a few of the many techniques which can be used in the field ...
Benson, D. J., Carlson, Jon F.
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Invariants and Cohomology of Groups

2004
Given an extension of finite groups \(1\to H\to G @>\pi>> K\to 1\) and a prime \(p\) dividing the order of \(G\), let \(|A_p(K)|\) denote the geometric realization of the poset of elementary abelian \(p\)-subgroups of \(K\) and, for any \(i\)-simplex \(\sigma_i\), denote its stabilizer by \(K_{\sigma_i}\) and its orbit representative by \([\sigma_i]\).
Adem, Alejandro, Milgram, R. James
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Cohomology of groups and transfer

The Annals of Mathematics, 1953
The purpose of this paper is to show how the transfer (Verlagerung) of a group A into a subgroup B of finite index can be obtained and generalized in the framework of the cohomology theory of groups (cf. [3]1) and of abstract complexes over a ring [2]. The generalized transfers are homomorphisms of the cohomology groups of the subgroup B into those of ...
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