Results 111 to 120 of about 6,156 (235)
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
Finite Abelian Groups via Congruences
The American Mathematical Monthly, 2023 For every finite abelian group $G$, there are positive integers $n$ and $d$ such that $G$ is isomorphic to the multiplicative group of $d$-th powers of reduced residues modulo $n$.
openaire +2 more sources
Normal automorphisms of relatively hyperbolic groups
, 2010 An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin +3 more
core +1 more source
A gap theorem for the ZL-amenability constant of a finite group [PDF]
International Journal of Group Theory, 2016 It was shown in [A. Azimifard, E. Samei, N. Spronk, JFA 256 (2009)] that the ZL-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. It was also shown in [A. Azimifard, E. Samei, N.
Yemon Choi
doaj
On the Sequencing of Finite Groups [PDF]
openThis thesis explores the problem of determining which finite groups are sequenceable. After briefly reviewing the necessary background in group theory, we introduce the concept of group sequencing and examine several classes of groups, including both
MILAZZO, DAVID
core
On abelian inner mapping groups of finite loops [PDF]
, 2000 summary:In this paper we consider finite loops of specific order and we show that certain abelian groups are not isomorphic to inner mapping groups of these loops.
Niemenmaa, Markku
core
On finite abelian groups realizable as Mislin genera [PDF]
, 1997 We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a ...
D. Scevenels +3 more
core +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
Groups of finite non-Abelian sectional rank
, 1997 Вивчаються неабелеві локально скінченні і неабелеві локально розв'язні групи скінченного неабелевого секційного рангу і доводиться, що їх (спеціальний) ранг скінченний.We study non-Abelian locally finite groups and non-Abelian locally solvable groups of ...
Дашкова, О.Ю.
core +1 more source
On the Hodge conjecture for products of certain surfaces [PDF]
, 2003 In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
core