Results 91 to 100 of about 75,652 (194)

COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$

Forum of Mathematics, Sigma, 2019
We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER, FRANK CALEGARI, MATTHEW EMERTON, BRANDON LEVIN, KEERTHI MADAPUSI PERA, STEFAN PATRIKIS   +5 more
doaj   +1 more source

The cohomology of Bestvina–Brady groups

Groups, Geometry, and Dynamics, 2011
For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finitely generated, we also compute the cohomology ring. For aspherical subcomplexes of the torus, our computation gives the homology of the groups introduced by M. Bestvina and N.
Ian J. Leary, Müge Saadetoğlu
openaire   +4 more sources

The prolongation of central extensions [PDF]

International Journal of Group Theory, 2012
The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of ...
Nguyen Tien Quang, Pham Thi Cuc, Che Thi Kim Phung   +2 more
doaj  

On cohomology isomorphisms of groups

Journal of Algebra, 2007
The author proves the following theorem for a wide class of groups including finite groups, compact Lie groups, groups of finite virtual cohomological dimension over \(\mathbb{F}_p\) and profinite groups. Theorem. Let \(f\colon H\to G\) be a homomorphism such that the induced map \(f^*\colon H^*(G;\mathbb{F}_p)\to H^*(H;\mathbb{F}_p)\) is an ...
openaire   +3 more sources

Cohomology of Semidirect Product Groups

Journal of Algebra, 1996
This paper contains explicit examples of semidirect products of \((\mathbb{Z}/p)^2\) by normal subgroups \((\mathbb{Z}/p)^n\), \(\mathbb{Z}^n\), \((S^1)^n\), respectively, where the Lyndon-Hochschild-Serre spectral sequence for the cohomology of groups with \(\mathbb{Z}/p\)-coefficients contains nontrivial differentials.
openaire   +1 more source

The definable content of homological invariants II: Čech cohomology and homotopy classification

Forum of Mathematics, Pi
This is the second installment in a series of papers applying descriptive set theoretic techniques to both analyze and enrich classical functors from homological algebra and algebraic topology.
Jeffrey Bergfalk, Martino Lupini, Aristotelis Panagiotopoulos   +2 more
doaj   +1 more source

Cohomological periodicities of crystallographic groups

Journal of Algebra, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Weak Generalized Amenability of Triangular Banach Algebras

Journal of Mathematical Extension, 2014
Let A1, A2 be unital Banach algebras and X be an A1 − A2− module. Applying the concept of module maps, (inner) module generalized derivations and generalized first cohomology groups, we present several results concerning the relations between module ...
M. Mosadeq
doaj  

Cohomology of Groups in Arbitrary Categories [PDF]

, 1964
Pareigis, Bodo
core   +1 more source

The decoupling of moduli about the standard embedding

Journal of High Energy Physics
We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory in the supergravity approximation.
Beatrice Chisamanga, Jock McOrist, Sebastien Picard, Eirik Eik Svanes   +3 more
doaj   +1 more source