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Centralisers of finite subgroups in soluble groups of type FPn
(Walter De Gruyter & CoBerlinAlemanha, 2011)
Belavin–Drinfeld solutions of the Yang–Baxter equation: Galois cohomology considerations
(Springer, 2018-04)
We relate the Belavin–Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over a non algebraically closed field K of ...
Operator Homology and Cohomology in Clifford Algebras
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Some remarks about Poincaré duality pairs
(2012-07-01)
Bieri-Eckmann [6] introduced the concept of relative cohomology for a group pair (G, S), where G is a group and S is a family of subgroups of G and, by using that theory, they introduced the concept of Poincaré duality ...
Projective representations in algebras and cohomology
(2011)
We give some conditions under which no two non-conjugate projective representations, in an algebra, of a given group can become conjugate over a separable extension of the base field. In particular, we show this is always ...
A dual homological invariant and some properties
(2014)
Based on the cohomology theory of groups, Andrade and Fanti defined in [1] an algebraic invariant, denoted by E(G,S, M), where G is a group, S is a family of subgroups of G with infinite index and M is a Z2G-module. In ...
Gerstenhaber Algebra Structure on the Hochschild Cohomology of Quadratic String Algebras
(Springer, 2018-02-26)
We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH∗(A) when A is a quadratic string algebra. First we compute the Hochschild cohomology groups using Barzdell’s resolution and we describe generators ...
On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
(Springer, 2015-12)
Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation-extension of C, then we show that if B ...
Strongly isospectral manifolds with nonisomorphic cohomology rings
(European Mathematical Society, 2013-12)
For any n≥7n≥7, k≥3k≥3, we give pairs of compact flat nn-manifolds MM, M′M′ with holonomy groups Zk2Z2k, that are strongly isospectral, hence isospectral on pp-forms for all values of pp, having nonisomorphic cohomology ...
Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
Let G be any of the (binary) icosahedral, generalized octahedral (tetrahedral) groups or their quotients by the center. We calculate the automorphism group Aut(G).