Results 71 to 80 of about 119,916 (247)
On a New Criterion for the Solvability of Non-Simple Finite Groups and m-Abelian Solvability [PDF]
, 2021 Hasan Sankari, Mohammad Abobala
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Fixed‐point posets of groups and Euler characteristics
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
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Electronic Notes in Discrete Mathematics, 2015 Abstract In this paper, we introduce an abelian group labeling (shortly, AGL) over finite abelian groups. We have shown that every finite graph admits an abelian group labeling. In the course of investigation, we found that representation labeling can be obtained from abelian group labeling for certain graphs.
null Pranjali +2 more
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Abelian group algebras of finite order [PDF]
Transactions of the American Mathematical Society, 1950 Introduction. A group G of finite order n and a field F determine in well known fashion an algebra GF of order n over F called the group algebra of G over F. One fundamental problem(') is that of determining all groups H such that HF is isomorphic to GF.
Perlis, Sam, Walker, Gordon L.
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Groups with conjugacy classes of coprime sizes
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
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Finite simple groups with some abelian Sylow subgroups
Kuwait Journal of Science, 2016 In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
Rulin Shen, Yuanyang Zhou
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On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
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Partitions of Finite Abelian Groups
European Journal of Combinatorics, 1986 A collection of subgroups \(G_ 1,G_ 2,...,G_ n\) of a group G constitutes a partition of G if every non-zero element of G is in one and only one of the groups \(G_ 1,G_ 2,...,G_ n\). We shall give conditions on the existence of partitions that consist of \(n_ i\) groups of order \(q_ i\), \(i=1,2,...,k\) and where \(q_ ...
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Linear Diophantine equations and conjugator length in 2‐step nilpotent groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
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On the Capability of Finite Abelian Pairs of Groups
Journal of Mathematical Extension, 2015 A group G is called capable if it is isomorphic to the group of inner automorphisms of some group H. The notion of capable groups was extended to capable pairs by G. Ellis, in 1996. Recently, a classification of capable pairs of finite abelian groups was
A. Hokmabadi, M. Afkanpour, S. Kayvanfar
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