Results 81 to 90 of about 5,645,781 (209)

Actions of nilpotent groups on nilpotent groups

Glasgow Mathematical Journal
AbstractFor finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the Sylow $p$ -subgroups of $J$ that mirrors the primary decomposition of $H^1(J,N)$ for abelian $N$ .
openaire   +3 more sources

Crystal structure of localized quantum unipotent coordinate category

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract A localized quantum unipotent coordinate category C∼w${\tilde{\mathcal{C}}}_{w}$ associated with a Weyl group element w$w$ is a rigid monoidal category that is obtained by applying the localization process to the category Cw${\mathcal{C}}_{w}$, a subcategory of the category R-gmod$R\text{-}\mathrm{gmod}$ of finite‐dimensional graded modules of
Masaki Kashiwara, Toshiki Nakashima
wiley   +1 more source

On varieties in which soluble groups are torsion-by-nilpotent

, 2005
We characterize the varieties in which all soluble groups are torsion-by-nilpotent as well as the varieties in which all soluble groups are locally finite-by ...
Traustason, Gunnar,, Lund University., Endimioni, G   +2 more
core   +2 more sources

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Nilpotent groups of semilinear transformations which are monomial

Le Matematiche, 2008
Let H be a nilpotent subgroup of ΓL_n (q) = GL_n (q), where φ denotes the field automorfism induced by the Frobenius map. We give a condition on the primes dividing |H ∩ GL_n (q)| under which H is conjugate to a subgroup of the generalized monomial ...
Andrea Lucchini, M. Chiara Tamburini
doaj  

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

About Nilpotent Profinite Groups Largely Satisfying a Word Equation [PDF]

Advances in Group Theory and Applications
We show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure.
Meisam Soleimani Malekan
doaj   +1 more source

Some Residual Properties of Finite Rank Groups

Моделирование и анализ информационных систем, 2014
The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
doaj   +1 more source