Results 11 to 20 of about 9,494,908 (294)
Permutation groups, simple groups, and sieve methods [PDF]
Israel Journal of Mathematics, 2005 Let \(I\) be the set of indices of non-trivial subgroups of finite non-abelian simple groups except that of the alternating group on \(n-1\) letters in the alternating group in \(n\) letters. In the paper under review for any real number \(x>1\) it is shown that the number of integers \(n\) in \(I\) not exceeding \(x\) is ~\(hx/\log(x)\) for some given
Heath-Brown, D, Praeger, C, Shalev, A
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On structural aspects of finite simple groups of Lie type [PDF]
, 2011 PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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Relatively hyperbolic groups are C*-simple [PDF]
, 2006 We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal ...
Arzhantseva, G. +5 more
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The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
, 2015 One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
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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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Cohomology of simple modules for algebraic groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev +2 more
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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 GENERATING GRAPH OF A SIMPLE GROUP [PDF]
Journal of the Australian Mathematical Society, 2016 The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
LUCCHINI, ANDREA +2 more
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Kimmerle conjecture for the Held and O'Nan sporadic simple groups [PDF]
, 2009 Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups.
Bódi, Viktor +2 more
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Some properties of finite generalized-groups [PDF]
Journal of Mahani Mathematical ResearchIn this article, we discuss the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
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