Results 101 to 110 of about 73,642 (235)

Remark on the $p$-rank of torsion free abelian groups of infinite rank [PDF]

, 1963
Ladislav Procházka
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On Davenport's constant of finite abelian groups with rank three

Discrete Mathematics, 2000
The Davenport constant \(D(G)\) of a finite Abelian group \(G\) is defined as the smallest integer \(d\in\mathbb{N}\) such that every sequence \(S\) of \(G\) with length \(|S|\geq d\) contains a subsequence with sum zero. Here a sequence \(S\) (in \(G\)) is an element of the free Abelian monoid \({\mathcal F}(G)\) with basis \(G\). If \(G=C_{n_1}\oplus\
openaire   +2 more sources

A reduction theorem for the Character Triple Conjecture

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
wiley   +1 more source

Towards a complete classification of 6D supergravities

Journal of High Energy Physics
The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group.
Yuta Hamada, Gregory J. Loges
doaj   +1 more source

Hyper-abelian groups with finite co-central rank

Journal of Algebra, 2004
As is well known, a group \(G\) has finite (Prüfer) rank if there is an integer \(r\geq 0\) such that every finitely generated subgroup of \(G\) can be generated by \(r\) elements. Here the author studies a more general rank restriction: a group \(G\) has finite co-central rank if there is an integer \(r\geq 0\) such that for every finitely generated ...
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Summands of finite rank torsion free abelian groups

Journal of Algebra, 1974
AbstractA finite rank torsion free abelian group has, up to isomorphism, only finitely many summands.
openaire   +2 more sources

Discovering T-dualities of little string theories

Journal of High Energy Physics
We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle.
Lakshya Bhardwaj
doaj   +1 more source

Typesets and cotypesets of rank-2 torsion free abelian groups [PDF]

, 1984
Donald M. Arnold, C. Vinsonhaler
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Periodicity of joint co-tiles in $\mathbb{Z}^d$

Discrete Analysis
Periodicity of joint co-tiles in $\mathbb{Z}^d$, Discrete Analysis 2024:13, 32 pp. A finite subset, or *tile*, $F$ of an abelian group $G$ is said to *tile $G$ by translations* if there there is some complementary set, or *co-tile*, $A$ of $G$ such that
Tom Meyerovitch, Shrey Sanadhya, Yaar Solomon   +2 more
doaj   +1 more source

Hypertypes of torsion-free abelian groups of finite rank [PDF]

, 1989
H. Pat Goeters, C. Vinsonhaler, W. Wickless   +2 more
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