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Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Manuscr MathLi C, Rapoport M, Zhang W.
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Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
Chapman M, Lubotzky A.
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Invariants and Cohomology of Groups
2004Given 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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The Cohomology of Extraspecial Groups
Bulletin of the London Mathematical Society, 1992This 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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Cohomology of groups and transfer
The Annals of Mathematics, 1953The 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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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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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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1995
This chapter discusses the cohomology of groups. The cohomology of groups is one of the crossroads of mathematics. It has its origins in the representation theory, class field theory, and algebraic topology. The theory of cohomology of groups in degrees higher than two really begins with a theorem in algebraic topology.
Benson, D. J., Kropholler, P. H.
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This chapter discusses the cohomology of groups. The cohomology of groups is one of the crossroads of mathematics. It has its origins in the representation theory, class field theory, and algebraic topology. The theory of cohomology of groups in degrees higher than two really begins with a theorem in algebraic topology.
Benson, D. J., Kropholler, P. H.
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