Results 31 to 40 of about 6,349 (237)
Generalized Bockstein maps and Massey products
Forum of Mathematics, Sigma, 2023 Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the augmentation ideal in the group algebra of H.
Yeuk Hay Joshua Lam +4 more
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Cohomology of Metacyclic Groups [PDF]
Transactions of the American Mathematical Society, 1991 Let \(e: 1\to N\to G\to K\to 1\) be an extension of a finite cyclic group \(N\) by a finite cyclic group \(K\). Then the literature already enables us to calculate \(H^*(G,\mathbb{Z})\) in principle. Step 1 is to reduce the calculation to a \(p\)-Sylow subgroup -- which will be either cyclic, abelian of rank 2 or non-abelian metacyclic.
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On bounded cohomology of amalgamated products of groups
International Journal of Mathematics and Mathematical Sciences, 2004 We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.
Igor V. Erovenko
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Milan Journal of Mathematics, 2023 AbstractIn this paper we show that a finite product preserving opfibration can be factorized through an opfibration with the same property, but with groupoidal fibres. If moreover the codomain is additive, one can endow each fibre of the new opfibration with a canonical symmetric 2-group structure.
Alan S. Cigoli +2 more
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International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
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Integral cohomology and chern classes of the special linear group over the ring of integers
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras
MathematicsIn this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
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Topology and its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
Forum of Mathematics, Pi, 2019 We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
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Cohomologies of certain orbifolds [PDF]
, 2013 We study the Bott–Chern cohomology of complex orbifolds obtained as a quotient of a compact complex manifold by a finite group of ...
Angella, Daniele
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