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Groups with all proper subgroups (finite rank)-by-nilpotent

โœ Scribed by Martyn R. Dixon; Martin J. Evans; Howard Smith


Publisher
Springer
Year
1999
Tongue
English
Weight
85 KB
Volume
72
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


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