Results 31 to 40 of about 9,055,555 (174)

A new description of equivariant cohomology for totally disconnected groups [PDF]

open access: yes, 2008
We consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions.
Voigt, C.
core   +1 more source

Partial cohomology of groups

open access: yesJournal 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

The Third Cohomology 2-Group

open access: yesMilan 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
openaire   +2 more sources

Cohomology of Metacyclic Groups [PDF]

open access: yesTransactions 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

Substitutions with Vanishing Rotationally Invariant First Cohomology

open access: yesDiscrete 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

Nilpotence in group cohomology [PDF]

open access: yesProceedings 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.
openaire   +3 more sources

The group of endotrivial modules in the normal case. [PDF]

open access: yes, 2007
The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial ...
Mazza, Nadia
core   +5 more sources

Generalized Bockstein maps and Massey products

open access: yesForum 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

Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]

open access: yes, 2013
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
core   +1 more source

Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds

open access: yesInternational 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

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