Results 41 to 50 of about 652,444 (293)
On θ-pairs for maximal subgroups
Journal of Pure and Applied Algebra, 2000 A pair of subgroups \((C,D)\) of a finite group \(G\) is said to be a \(\theta^*\)-pair for a maximal subgroup \(M\) of \(G\) if it satisfies the following properties: (a) \(D\) is a proper subgroup of \(C\) and \(D\) is normal in \(G\). (b) \(D\) is contained in \(M\) and \(M\) does not contain any conjugate of \(C\) in \(G\).
Shirong, Li, Yaoqing, Zhao
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Avoiding maximal parabolic subgroups of S_k [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions. The generating function turns out to be rational, and its denominator is a rook polynomial for a rectangular board.
Toufik Mansour, Alek Vainshtein
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Some Characterizations for Approximate Biflatness of Semigroup Algebras
Journal of Mathematics, 2023 In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
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Generating Finite Groups with Maximal Subgroups of Maximal Subgroups
Journal of Algebra, 1995 The author develops a theory of \(\gamma\)-triples \((G,M, H)\) where \(G\) is a finite group with proper subgroups \(H< M< G\) such that \(\langle H,g \rangle \cap M= H\) for all \(g\in G\setminus M\). He proves that in this situation the \(M\)-core \(H_M\) of \(H\) is subnormal in \(G\) and \(H/H_M\) is cyclic. If in addition \(H_G= 1\) and \(H_M< H\)
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ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractLet G be a finitely generated group. We investigate the graph ΓM(G), whose vertices are the maximal subgroups of G and where two vertices M1 and M2 are joined by an edge whenever M1∩M2≠1. We show that if G is a finite simple group then the graph ΓM(G) is connected and its diameter is 62 at most. We also show that if G is a finite group, then ΓM(
M. HERZOG +2 more
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Words for maximal Subgroups of Fi24‘
Open Chemistry, 2019 Group Theory is the mathematical application of symmetry to an object to obtain knowledge of its physical properties. The symmetry of a molecule provides us with the various information, such as - orbitals energy levels, orbitals symmetries, type of ...
Yasin Faisal +2 more
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Burnside Groups and Groups Acting on Rooted Trees [PDF]
Advances in Group Theory and ApplicationsBranch groups stem from one of the most influential problems in group theory: The famous Burnside Problem, which arose in 1902 and asks if a finitely generated torsion group, i.e. in which every element has finite order, can be itself infinite.
Anitha Thillaisundaram
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The maximal subgroups of the Monster
Advances in MathematicsThe classification of the maximal subgroups of the Monster $\mathbf{M}$ is a long-standing problem in finite group theory. According to the literature, the classification is complete apart from the question of whether $\mathbf{M}$ contains maximal subgroups that are almost simple with socle $\mathrm{PSL}_2(13)$.
Dietrich, Heiko +2 more
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Maximal finite subgroups and minimal classes [PDF]
L’Enseignement Mathématique, 2015 We apply Voronoi’s algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple \mathbf Q -algebra.
Renaud Coulangeon, Gabriele Nebe
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International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in ...
S. Srinivasan
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