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Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)

✍ Scribed by Abdelhafid Badis; Nadir Trabelsi

Book ID: 111488763
Publisher: SP Versita
Year: 2011
Tongue: English
Weight: 784 KB
Volume: 9
Category: Article
ISSN: 1895-1074
DOI: 10.2478/s11533-011-0077-0

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✦ Synopsis

Our main result is that a locally graded group whose proper subgroups are Baer-by-Chernikov is itself Baer-by-Chernikov. We prove also that a locally (soluble-by-finite) group whose proper subgroups are Baer-by-(finite rank) is itself Baer-by-(finite rank) if either it is locally of finite rank but not locally finite or it has no infinite simple images.

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