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Mutually permutable subgroups and group classes

✍ Scribed by James C. Beidleman; Hermann Heineken

Publisher
Springer
Year
2005
Tongue
English
Weight
154 KB
Volume
85
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

Mutually Permutable Products of Finite G
Mutually Permutable Products of Finite Groups
✍ A. Ballester-Bolinches; M.D. PΓ©rez-Ramos; M.C. Pedraza-Aguilera πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 76 KB
Computing Sylow Subgroups in Permutation
Computing Sylow Subgroups in Permutation Groups
✍ JOHN CANNON; BRUCE COX; DEREK HOLT πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 371 KB

We describe the theory and implementation of a practical algorithm for computing a Sylow subgroup of a permutation group and for finding an element that conjugates one Sylow subgroup to another. The performance of the current implementations in the Magma system represents a significant improvement o

Transitive Subgroups of Primitive Permut
Transitive Subgroups of Primitive Permutation Groups
✍ Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 492 KB

to helmut wielandt on the occasion of his 90th birthday We investigate the finite primitive permutation groups G which have a transitive subgroup containing no nontrivial subnormal subgroup of G. The conclusion is that such primitive groups are rather rare, and that their existence is intimately co