Results 31 to 40 of about 70,616 (265)

Constructing Maximal Subgroups of Classical Groups [PDF]

LMS Journal of Computation and Mathematics, 2005
AbstractThe maximal subgroups of the finite classical groups are divided by a theorem of Aschbacher into nine classes. In this paper, the authors show how to construct those maximal subgroups of the finite classical groups of linear, symplectic or unitary type that lie in the first eight of these classes.
Derek F. Holt, Colva M. Roney-Dougal
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A note on finite group structure influenced by second and third maximal subgroups

International Journal of Mathematics and Mathematical Sciences, 1990
The structure of a finite group having specified number of second and third maximal subgroups has been investigated in the paper.
N. P. Mukherjee, R. Khazal
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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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A New Maximal Subgroup of the Monster

Journal of Algebra, 2002
The article answers a longstanding open question about the existence of maximal subgroups of shape \(L_2(29):2\) in the Monster sporadic simple group \(M\). Using their computer construction of \(M\), the authors can prove that \(M\) contains exactly one conjugacy class of subgroups isomorphic to \(L_2(29)\) and that each of those groups is contained ...
Holmes, P.E., Wilson, R.A.
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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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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, Farooq Adeel, Jung Chahn Yong   +2 more
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Burnside Groups and Groups Acting on Rooted Trees [PDF]

Advances in Group Theory and Applications
Branch 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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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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Finite p′-nilpotent groups. I

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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