Results 191 to 200 of about 6,349 (237)
Some of the next articles are maybe not open access.
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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1971
In this chapter we shall apply the theory of derived functors to the important special case where the ground ring Λ is the group ring ℤ G of an abstract group G over the integers. This will lead us to a definition of cohomology groups H n (G, A) and homology groups H n (G, B), n ≧ 0, where A is a left and B a right G-module (we speak of “G-modules ...
Peter J. Hilton, Urs Stammbach
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In this chapter we shall apply the theory of derived functors to the important special case where the ground ring Λ is the group ring ℤ G of an abstract group G over the integers. This will lead us to a definition of cohomology groups H n (G, A) and homology groups H n (G, B), n ≧ 0, where A is a left and B a right G-module (we speak of “G-modules ...
Peter J. Hilton, Urs Stammbach
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2019
AbstractThis chapter introduces the basic ingredients of the cohomology of groups and describes datatypes and algorithms for implementing them on a computer. These are illustrated using computer examples involving: integral homology of finite groups such as the Mathieu groups, homology of crystallographic groups, homology of nilpotent groups, homology ...
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AbstractThis chapter introduces the basic ingredients of the cohomology of groups and describes datatypes and algorithms for implementing them on a computer. These are illustrated using computer examples involving: integral homology of finite groups such as the Mathieu groups, homology of crystallographic groups, homology of nilpotent groups, homology ...
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ON THE COHOMOLOGY GROUPS OF A FINITE GROUP
The Quarterly Journal of Mathematics, 1955openaire +2 more sources
Computation of cohomology of vertex algebras
Japanese Journal of Mathematics, 2020Bojko Bakalov +2 more
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High dimensional cohomology of discrete groups
Proceedings of the National Academy of Sciences of the United States of America, 1976Kenneth S Brown, Brown Kenneth S
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