Results 101 to 110 of about 17,375 (238)
Journal of Algebra, 2009 The paper deals with direct sum decompositions of reduced torsion-free Abelian groups \(G\) of finite rank. The main tool is the ring \(E=E(G)=\text{End}(G)/\mathcal N\text{End}(G)\) where \(\mathcal N\text{End}(G)\) denotes the nil radical of the endomorphism ring \(\text{End}(G)\).
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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
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On the Galoisian Structure of Heisenberg Indeterminacy Principle [PDF]
, 2013 We revisit Heisenberg indeterminacy principle in the light of the Galois-Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois-Grothendieck duality between finite K-algebras split by a Galois ...
Catren, Gabriel, Page, Julien
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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
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Countable extensions of torsion Abelian groups [PDF]
, 2005 summary:Suppose $A$ is an abelian torsion group with a subgroup $G$ such that $A/G$ is countable that is, in other words, $A$ is a torsion countable abelian extension of $G$. A problem of some group-theoretic interest is that of whether $G \in \mathbb K$,
Danchev, Peter
core
On a variation of Sands' method
International Journal of Mathematics and Mathematical Sciences, 1986 A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called Z-good if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called Z-bad.
Evelyn E. Obaid
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Hopfian additive groups of rings [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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Some remarks on regular subgroups of the affine group [PDF]
International Journal of Group Theory, 2012 Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
doaj
The abelianization of hypercyclic groups
Central European Journal of Mathematics, 2007 It was shown in the literature that the Abelianization of a hypercentral group has a considerable influence on the structure of the group itself. Since hypercentral groups are hypercyclic groups, it is natural to ask whether the results obtained for hypercentral groups extend to hypercyclic groups. In the article under review, different aspects of this
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Meta-abelian unit groups of group algebras are usually abelian
, 1991 Given a field F of positive characteristic p>2 and a finite group G we give necessary and sufficient conditions for the unit group of the group algebra FG to be meta-abelian.
Shalev, Aner
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