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Groups with all subgroups permutable or of finite rank

โœ Scribed by Martyn R. Dixon; Yalcin Karatas


Book ID
115063559
Publisher
SP Versita
Year
2012
Tongue
English
Weight
970 KB
Volume
10
Category
Article
ISSN
1895-1074

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๐Ÿ“œ SIMILAR VOLUMES


Finite Soluble Groups with Permutable Su
โœ Manuel J Alejandre; A Ballester-Bolinches; M.C Pedraza-Aguilera ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

A finite group G is said to be a PST -group if every subnormal subgroup of G permutes with every Sylow subgroup of G. We shall discuss the normal structure of soluble PST -groups, mainly defining a local version of this concept. A deep study of the local structure turns out to be crucial for obtaini

Permutable subnormal subgroups of finite
โœ A. Ballester-Bolinches; J. C. Beidleman; John Cossey; R. Esteban-Romero; M. F. R ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Springer ๐ŸŒ English โš– 146 KB
Locally Finite Groups with All Subgroups
โœ E.I Khukhro; H Smith ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

A group is said to have finite special rank F s if all of its finitely generated subgroups can be generated by s elements. Let G be a locally finite group and suppose that HrH has finite rank for all subgroups H of G, where H denotes the normal core of H in G. We prove that then G has an abelian no