Results 21 to 30 of about 4,558 (244)
SettingsNote on the \(F_{0}\)-spaces
Cubo, 2023 A rationally elliptic space \(X\) is called an \(F_{0}\)-space if its rational cohomology is concentrated in even degrees. The aim of this paper is to characterize such a space in terms of the homotopy groups of its skeletons as well as the rational ...
Mahmoud Benkhalifa
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Cohomologies of n-Lie Algebras with Derivations
Mathematics, 2021 The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
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COHOMOLOGY OF KLEINIAN GROUPS [PDF]
Proceedings of the National Academy of Sciences, 1969 Let [unk] be a (nonelementary) Kleinian group and q ≥ 2 an integer. The group [unk] acts in a natural way on the vector space II 2 q —2 of complex polynomials in one variable of degree ≤ 2 q — 2. One can thus form
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Nilpotence in group cohomology [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture.
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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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A generalization of the cohomology of groups [PDF]
Proceedings of the American Mathematical Society, 1982 Generalizations of the cohomology of finite groups, in which one considers varying families of subgroups, are presented. These groups are shown to relate to Bredon equivariant of homology of universal G-spaces, and to lead to necessary algebraic conditions for G-actions on contractible spaces.
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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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Journal of Algebra, 2015 We added a corrigendum in which we prove a corrected version of Theorem 5.4 from [v2]
M. Dokuchaev, M. Khrypchenko
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CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
Forum of Mathematics, Sigma, 2014 We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
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Deformations of Yang-Baxter operators via n-Lie algebra cohomology
Nuclear Physics B, 2023 We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
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