Results 41 to 50 of about 73,450 (306)
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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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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Every group is a maximal subgroup of the free idempotent generated semigroup over a band
, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +3 more
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Classification and properties of the $$\pi $$ π -submaximal subgroups in minimal nonsolvable groups
Bulletin of Mathematical Sciences, 2017 Let $$\pi $$ π be a set of primes. According to H. Wielandt, a subgroup H of a finite group X is called a $$\pi $$ π -submaximal subgroup if there is a monomorphism $$\phi :X\rightarrow Y$$ ϕ:X→Y into a finite group Y such that $$X^\phi $$ Xϕ is ...
Wenbin Guo, Danila O. Revin
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Finite groups whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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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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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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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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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 3-local subgroups of symmetric groups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2013 The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
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