Results 91 to 100 of about 2,666 (229)

Independence and strong independence complexes of finite groups

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley   +1 more source

Elementary abelian subgroups: from algebraic groups to finite groups [PDF]

We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these.
An, Jianbei, Dietrich, Heiko, Litterick, Alastair   +2 more
core   +1 more source

Structure of Finite-Dimensional Protori

Axioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Cohomology and the subgroup structure of a finite soluble group [PDF]

The main topic of this thesis is the discovery and study of a cohomological property of the subgroups called F-normalizers in finite soluble groups; namely, the property that with certain coefficient modules the restriction map in cohomology from a ...
Wilde, Thomas Stephen
core  

Large abelian subgroups of Chevalley groups [PDF]

Journal of the Australian Mathematical Society, 1979
AbstractFor any group S let Ab(S) = {A∣A is an abelian subgroup of S of maximal order}. Let G be a Chevalley group of type An, Bn, Cn, or Dn over a finite field of characteristic p and let. In this paper Ab(U) is determined for all such groups.
openaire   +2 more sources

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

Groups with normality conditions for non-abelian subgroups

, 2007
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups and groups in which every subgroup has finite index in its normal closure as central-by-finite groups and finite-by-abelian groups, respectively.
de Giovanni, F., Musella, C., MUSELLA, CARMELA, De Falco, M., DE GIOVANNI, FRANCESCO, Y. P. Sysak, DE FALCO, MARIA, Sysak, Y.P.   +7 more
core   +1 more source

Elementary abelian 2-subgroups of compact Lie groups [PDF]

, 2018
We classify elementary abelian 2-subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $$p$$ -subgroups of compact simple Lie groups (equivalently, complex linear algebraic simple groups) of ...
Yu, Jun
core   +1 more source