Results 41 to 50 of about 1,367,812 (370)
A block theoretic analogue of a theorem of Glauberman and Thompson [PDF]
, 2003 If p is an odd prime, G a finite group and P a Sylow-p-subgroup of G, a theorem of Glauberman and Thompson states that G is p-nilpotent if and only if NG(Z(J(P))) is p-nilpotent, where J(P) is the Thompson subgroup of P generated by all abelian subgroups
Kessar, R., Linckelmann, M.
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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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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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SPECIAL MAXIMAL SUBGROUPS OF -GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractIn the 2006 edition of the Kourovka Notebook, Berkovich poses the following problem (Problem 16.13): Let $p$ be a prime and $P$ be a finite $p$-group. Can $P$ have every maximal subgroup special? We show that the structure of such groups is very restricted, but for all primes there are groups of arbitrarily large size with this property.
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Finite p′-nilpotent groups. II
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
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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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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.
Holt, Derek F., Roney-Dougal, Colva M.
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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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Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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