Results 11 to 20 of about 6,532,487 (336)
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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Integral group ring of the first Mathieu simple group [PDF]
, 2007 We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
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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 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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Blocks of group algebras are derived simple [PDF]
, 2011 A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements.
Liu, Qunhua, Yang, Dong
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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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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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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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A new characterization of L2(p2)
Open Mathematics, 2020 For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi +4 more
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Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105
Mathematics, 2018 Let G be a finite group. The prime graph Γ ( G ) of G is defined as follows: The set of vertices of Γ ( G ) is the set of prime divisors of | G | and two distinct vertices p and p ′ are connected in &Gamma ...
Hossein Moradi +2 more
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