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Central-by-Chernikov groups are compact co-ChernikovCC-groups

โœ Scribed by Javier Otal


Book ID
106299271
Publisher
Springer
Year
2003
Tongue
English
Weight
267 KB
Volume
182
Category
Article
ISSN
0373-3114

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Groups whose proper subgroups are Baer-b
โœ Abdelhafid Badis; Nadir Trabelsi ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› SP Versita ๐ŸŒ English โš– 784 KB

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