Results 81 to 90 of about 17,115,327 (210)
Invertible Graphs of Finite Groups [PDF]
Computer Science Journal of Moldova, 2018 We investigate some properties of invertible graphs of finite groups, which are newly defined in this paper. The main results have been proved using finite group classification.
T. Chalapathi, R.V.M.S.S. Kiran Kumar
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Character expansiveness in finite groups [PDF]
International Journal of Group Theory, 2013 We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti +2 more
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Some New Applications of Weakly ℋ-Embedded Subgroups of Finite Groups
Mathematics, 2019 A subgroup H of a finite group G is said to be weakly H -embedded in G if there exists a normal subgroup T of G such that H G = H T and H ∩ T ∈ H ( G ) , where H G is the normal closure of H in G, and H ( G )
Li Zhang, Li-Jun Huo, Jia-Bao Liu
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Inverse Ambiguous Functions and Automorphisms on Finite Groups
Annales Mathematicae Silesianae, 2019 If G is a finite group, then a bijective function f : G → G is inverse ambiguous if and only if f(x)−1 = f−1(x) for all x ∈ G. We give a precise description when a finite group admits an inverse ambiguous function and when a finite group admits an ...
Toborg Imke
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Groups, Geometry, and Dynamics, 2011 If G is a finitely generated profinite group then the verbal subgroup G^{q} is open. In a d -generator finite group every product of q
Segal, D, Nikolov, N
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Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation
Mathematics, 2017 Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not necessarily minimal) permutation representations P .
Michel Planat, Hishamuddin Zainuddin
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Finite simple groups and finite primitive permutation groups [PDF]
Bulletin of the Australian Mathematical Society, 1983 The classification of the finite simple groups has had far-reaching consequences for many branches of algebra. This paper is a discussion of several problems about primitive permutation groups which have been solved using the simple group classification.
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On finite A-perfect abelian groups [PDF]
International Journal of Group Theory, 2012 Let $G$ be a group and $A = Aut(G)$ be the group of automorphisms of $G$. Then the element $[g,alpha] = g^{-1}alpha(g)$ is an autocommutator of $gin G$ and $alphain A$.
Mohammad Mehdi Nasrabadi, Ali Gholamian
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Conjugate factorizations of finite groups [PDF]
International Journal of Group Theory, 2015 In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar'oti and Iulian I. Simion.
Martino Garonzi
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Finite BCI-groups are solvable [PDF]
International Journal of Group Theory, 2016 Let $S$ be a subset of a finite group $G$. The bi-Cayley graph ${rm BCay}(G,S)$ of $G$ with respect to $S$ is an undirected graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid xin G, sin S}$. A bi-Cayley graph ${rm BCay}(G,S)$ is
Majid Arezoomand, Bijan Taeri
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