Results 81 to 90 of about 277,944 (294)
ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]
Journal of Algebraic Systems, 2019 Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
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On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
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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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The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
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Minimal non-abelian groups with an average condition on subgroups [PDF]
Journal of Mahani Mathematical ResearchFor a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$. We say that $G$ satisfies the average condition if $o(H)\leq o(G)$ for all subgroups $H$ of $G$.
Bijan Taeri, Ziba Tooshmalani
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Equal-Square Graphs Associated with Finite Groups
Journal of Mathematics, 2022 The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices x and y are adjacent iff x2=y2.
Shafiq Ur Rehman +3 more
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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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Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
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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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