Results 11 to 20 of about 114,978 (268)
Finite Groups Having Monolithic Characters of Prime Degree
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Let G be a finite group. An irreducible character χ is called monolithic when the factor group G/ker(χ) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime q dividing the order of G if G has a faithful imprimitive ...
Temha Erkoç, Burcu Çınarcı
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The Quarterly Journal of Mathematics, 1987 This paper deals with the problem of enumerating the number f(n) of isomorphism types of groups of order n. There are three results which give upper bounds for f(n). The first bound holds for arbitrary groups, the second one deals with solvable groups, while the third one applies to groups with abelian Sylow subgroups.
Mciver, A, Neumann, P
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FINITE GROUPS WITH THE SAME JOIN GRAPH AS A FINITE NILPOTENT GROUP [PDF]
Glasgow Mathematical Journal, 2020 AbstractGiven a finite group G, we denote by Δ(G) the graph whose vertices are the proper subgroups of G and in which two vertices H and K are joined by an edge if and only if G = ⟨H, K⟩. We prove that if there exists a finite nilpotent group X with Δ(G) ≅ Δ(X), then G is supersoluble.
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On Shunkov Groups Saturated with Finite Groups
Известия Иркутского государственного университета: Серия "Математика", 2018 The structure of the group consisting of elements of finite order depends to a large extent on the structure of the finite subgroups of the group under consideration. One of the effective conditions for investigating an infinite group containing elements
A.A. Shlepkin
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Journal of Symbolic Computation, 1999 The authors give an algorithm to determine all groups of a given order up to isomorphism. Following a suggestion of \textit{W. Gaschütz} [Math. Z. 58, 160-170 (1953; Zbl 0050.02202)] they first construct the possible solvable Frattini factors \(G/\Phi(G)\). These factors are obtained as subdirect products of irreducible subgroups of \(\text{GL}(d,q)\).
Hans Ulrich Besche, Bettina Eick
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Finite Groups as Isometry Groups [PDF]
Transactions of the American Mathematical Society, 1976 We show that given any finite group G of cardinality k + 1 k
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Finite groups with 4p2q elements of maximal order
Open Mathematics, 2021 It is an interesting and difficult topic to determine the structure of a finite group by the number of elements of maximal order. This topic is related to Thompson’s conjecture, that is, if two finite groups have the same order type and one of them is ...
Tan Sanbiao, Chen Guiyun, Yan Yanxiong
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On finite totally $2$-closed groups
Comptes Rendus. Mathématique, 2022 An abstract group $G$ is called totally $2$-closed if $H=H^{(2),\Omega }$ for any set $\Omega $ with $G\cong H\le \mathrm{Sym}(\Omega )$, where $H^{(2),\Omega }$ is the largest subgroup of $\mathrm{Sym}(\Omega )$ whose orbits on $\Omega \times \Omega ...
Abdollahi, Alireza +2 more
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Quotient Groups of Finite Groups [PDF]
Proceedings of the American Mathematical Society, 1984 Assume H H and H 0 {H_0} are subgroups of the finite group G G with H 0 ⧋ H H_0 \triangleubar H .
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On Factorised Finite Groups [PDF]
Mediterranean Journal of Mathematics, 2020 [EN] A subgroup H of a finite group G is called P-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two P-subnormal subgroups is showed.
A. Ballester-Bolinches +3 more
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