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Mutually Permutable Products of Finite Groups, II

✍ Scribed by A. Ballester-Bolinches; M.C. Pedraza-Aguilera


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
81 KB
Volume
218
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Mutually Permutable Products of Finite G
✍ A. Ballester-Bolinches; M.D. PΓ©rez-Ramos; M.C. Pedraza-Aguilera πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 76 KB
Sylow Permutable Subnormal Subgroups of
✍ A. Ballester-Bolinches; R. Esteban-Romero πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 104 KB

## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou

On Permutation Groups of Finite Type
✍ Clara Franchi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 213 KB

A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti

Groups of Permutation Polynomials over F
✍ Richard M. Stafford πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 195 KB

Let F be a finite field. We apply a result of Thierry Berger (1996, Designs Codes Cryptography, 7, 215-221) to determine the structure of all groups of permutations on F generated by the permutations induced by the linear polynomials and any power map which induces a permutation on F.

Representing the Quotient Groups of a Fi
✍ Derek F. Holt; Jacqueline Walton πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 207 KB

Let G be a permutation group of finite degree d. We prove that the product of the orders of the composition factors of G that are not alternating groups acting naturally, in a sense that will be made precise, is bounded by c d-1 /d, where c = 4 5. We use this to prove that any quotient G/N of G has

The graphical complexity of direct produ
✍ Mariusz Grech πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 167 KB

In this article, we improve known results, and, with one exceptional case, prove that when k β‰₯ 3, the direct product of the automorphism groups of graphs whose edges are colored using k colors, is itself the automorphism group of a graph whose edges are colored using k colors. We have handled the ca