Groups with minimax commutator subgroup

A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank. It is proved here that if $G$ is a locally (soluble-by-finite) grou...

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Bibliographic Details
Main Authors: Francesco de Giovanni, Trombetti
Format: Article
Language:English
Published: University of Isfahan 2014-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=2968&_ob=a0361dfd4b08b2933ad65f68ad95fcd2&fileName=full_text.pdf.