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On thep-Local Rank of Finite Groups

โœ Scribed by Bao Shan Wang; Ji Ping Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2003
Tongue
English
Weight
206 KB
Volume
19
Category
Article
ISSN
1439-7617

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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