Results 31 to 40 of about 88,096 (255)
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.
openaire +1 more source
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.
openaire +1 more source
Substitutions with Vanishing Rotationally Invariant First Cohomology
Discrete Dynamics in Nature and Society, 2012 The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Cohomology of infinite groups realizing fusion systems
, 2019 Given a fusion system $\mathcal{F}$ defined on a $p$-group $S$, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize $\mathcal{F}$. We study these models when $\mathcal{F}$ is a fusion system of a finite group $G$
Gündoğan, Muhammed Said, Yalcin, Ergun
core +2 more sources
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
doaj +1 more source
Dynamics and the Cohomology of Measured Laminations
Mathematics, 2016 In this paper, the interconnection between the cohomology of measured group actions and the cohomology of measured laminations is explored, the latter being a generalization of the former for the case of discrete group actions and cocycles evaluated on ...
Carlos Meniño Cotón
doaj +1 more source