Results 11 to 20 of about 1,847,445 (268)
Simple groups contain minimal simple groups [PDF]
Publicacions Matemàtiques, 1997 It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
Barry, M. J. J., Ward, M. B.
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Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics, 2022 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Maria A. Grechkoseeva +4 more
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On a conjecture on simple groups [PDF]
Proceedings of the American Mathematical Society, 1950 The purpose of this paper is to rephrase a conjecture about simple groups into the language of linear algebra. Let G be a group of finite order o(G). Then by rF we shall mean the group ring of G over a field of characteristic p (for instance the integers modulo p). We shall denote the radical of rF by N,. If p = 0 or p o(G), then it is known that Np=(O)
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Siberian Mathematical Journal, 2014 The main aim of this article is to establish a classification of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraically simpleness), and group theory, GTS (group theoretically simpleness ...
Khodabandeh, H., Shahryari, M.
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On Group-Vertex-Magic Labeling of Simple Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq +2 more
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The first example of a simple 2−(81,6,2) design
Examples and Counterexamples, 2021 We give the very first example of a simple 2−(81,6,2)design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4-dimensional geometry over the field of order 3.
Anamari Nakic
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Journal of Algebra, 2001 A finite simple group \(G\) is called simple \(K_n\)-group if the order of \(G\) has exactly \(n\) distinct prime factors. It is well known that the number of simple \(K_3\)-groups is eight [\textit{M. Herzog}, J. Algebra 10, 383-388 (1968; Zbl 0167.29101)].
Bugeaud, Yann +2 more
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On the tree-number of the power graph associated with some finite groups [PDF]
AUT Journal of Mathematics and ComputingGiven a group G, we define the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if ⟨x⟩ ⊆ ⟨y⟩ or ⟨y⟩ ⊆ ⟨x⟩.
Sakineh Rahbariyan
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THE EASY APPROACH TO GROUP AGENCY. A SIMPLE REALIST VIEW ON GROUP AGENTS
Studia Universitatis Babeș-Bolyai. Philosophia, 2021 We talk about groups as doing something, we talk as if groups have agency. Is our talk legitimate? Are there group agents? Is there something like group agency?
Andreea POPESCU
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On two generation methods for the simple linear group $PSL(3,7)$ [PDF]
AUT Journal of Mathematics and Computing, 2023 A finite group $G$ is said to be \textit{$(l,m, n)$-generated}, if it is a quotient group of the triangle group $T(l,m, n) = \left.$ In [J. Moori, $(p, q, r)$-generations for the Janko groups $J_{1}$ and $J_{2}$, Nova J.
Thekiso Seretlo
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