Results 111 to 120 of about 813,424 (237)

On the Relative Non-Abelian Tensor Product of a Pair of Prime Power Groups

Journal of Mathematical Extension, 2015
Let (G,N) be a pair of prime power groups. We give a new upper bound for |N G|, where N G is the non-abelian tensor product of N and G. Among other results, the relative Schur multiplier of free product of groups is determined under some ...
S. H. Jafari
doaj  

Quasi-e-locally cyclic torsion-free abelian groups

, 2005
For a torsion-free abelian group A, we investigate the problem of determining when End(A) is maximal as a ring in the near-ring of all 0-preserving functions on A.
M. Dugas, C. J. Maxson
semanticscholar   +1 more source

Countable Abelian Groups with a Discrete Norm are Free [PDF]

Proceedings of the American Mathematical Society, 1984
It is proved that a countable Abelian group with a norm which induces the discrete topology is free.
openaire   +2 more sources

Anomaly constraints for heterotic strings and supergravity in six dimensions

Journal of High Energy Physics
The landscape of six-dimensional supergravities is dramatically constrained by the cancellation of gauge and gravitational anomalies, but the full extent of its implications has not been uncovered.
Ivano Basile, Giorgio Leone
doaj   +1 more source

Product mixing in the alternating group

Discrete Analysis, 2016
Product mixing in the alternating group, Discrete Analysis 2016:2, 18 pp. Growth and mixing of subsets of groups is a major theme in group theory. The former concerns lower bounds for the sizes of product sets, especially of the form $A^k$, where $A$ is
Sean Eberhard
doaj   +1 more source

The Magnus representation and homology cobordism groups of homology cylinders

, 2015
A homology cylinder over a compact manifold is a homology cobordism between two copies of the manifold together with a boundary parametrization. We study abelian quotients of the homology cobordism group of homology cylinders. For homology cylinders over
Sakasai, Takuya
core  

Localizations of torsion-free abelian groups

Journal of Algebra, 2004
The author considers the localizations of torsion-free Abelian groups, more precisely, the localizations of free groups, of cotorsion-free groups, and of finite rank Butler groups. For Abelian groups \(A,B\) a homomorphism \(\alpha\colon A\to B\) is said to be a `localization' of \(A\) if, for all \(f\colon A\to B\), there is a unique \(\varphi\colon B\
openaire   +1 more source

Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Le Matematiche, 2006
Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.
Peter Danchev
doaj  

Proof of a conjecture of Kleinberg-Sawin-Speyer

Discrete Analysis, 2018
Proof of a conjecture of Kleinberg-Sawin-Speyer, Discrete Analysis 2018:13, 7 pp. In the present paper the author constructs an $S_3$-symmetric probability distribution on $\{(a,b,c)\in\mathbb{Z}_{\geq 0}^3:a+b+c=p-1\}$ such that its marginal achieves ...
Luke Pebody
doaj   +1 more source

Metabelian Product of a Free Nilpotent Group with a Free Abelian Group

Groups – Complexity – Cryptology, 2009
In the variety of all groups, A. I. Mal’cev [5] proved in 1949 that the free product of two residually torsion-free nilpotent groups is again residually torsion-free nilpotent. This paper is motivated by the analogous question in the variety of metabelian groups: can we determine whether free metabelian products of residually torsion-free nilpotent ...
openaire   +1 more source