Results 1 to 10 of about 1,269,847 (220)
On maximal subformations of n-multiple Ω-foliated formations of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Only finite groups are considered in the article. Among the classes of groups the central place is occupied by classes closed regarding homomorphic images and subdirect products which are called formations.
Sorokina, Marina M. +1 more
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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications
Mathematics, 2022 The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability.
Adolfo Ballester-Bolinches +2 more
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On the Norm of the Abelian p-Group-Residuals
Mathematics, 2021 Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
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Study of Groups with basic property [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 The purpose of this paper is to study the concept of dependence , independence and the basis of some algebraic structure and give the definition of a finite group with basic property and study some of its basic properties .
Dunia Alawi Jarwan
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A bipartite graph associated to elements and cosets of subgroups of a finite group
AIMS Mathematics, 2021 Let $ G $ be a finite group. A bipartite graph associated to elements and cosets of subgroups of $ G $ is the simple undirected graph $ \Gamma(G) $ with the vertex set $ V(\Gamma(G)) = A\cup B $, where $ A $ is the set of all elements of a group $ G ...
Saba Al-Kaseasbeh, Ahmad Erfanian
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The clique number of the intersection graph of a cyclic group of order with at most three prime factors [PDF]
ریاضی و جامعه, 2023 Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$.
Seyyed Majid Jafarian Amiri +1 more
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Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2016 All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
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Finite Groups whose Cyclic Subnormal Subgroups Satisfy Certain Permutability Conditions [PDF]
Advances in Group Theory and Applications, 2016 Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminormal are investigated.
A. Ballester-Bolinches +2 more
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Speed of convergence of complementary probabilities on finite group
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 Let function P be a probability on a finite group G, i.e. $P(g)\geq0\ $ $(g\in G),\ \sum\limits_{g}P(g)=1$ (we write $\sum\limits_{g}$ instead of $\sum\limits_{g\in G})$.
Alexander Vyshnevetskiy
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Extraspecially Irreducible Groups [PDF]
Advances in Group Theory and Applications, 2016 Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
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