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Soluble minimal non-(finite-by-Baer)-groups

✍ Scribed by Abdelhafid Badis; Nadir Trabelsi

Book ID
107401102
Publisher
Springer Milan
Year
2009
Tongue
Italian
Weight
140 KB
Volume
59
Category
Article
ISSN
0035-5038

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πŸ“œ SIMILAR VOLUMES

Soluble Groups with Few Non-Baer Subgrou
Soluble Groups with Few Non-Baer Subgroups
✍ Orest D. Artemovych πŸ“‚ Article πŸ“… 2003 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 189 KB
Locally Soluble-by-Finite Groups with th
Locally Soluble-by-Finite Groups with the Weak Minimal Condition on Non-Nilpotent Subgroups
✍ Martyn R. Dixon; Martin J. Evans; Howard Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

The authors investigate the structure of locally soluble-by-finite groups that satisfy the weak minimal condition on non-nilpotent subgroups. They show, among other things, that every such group is minimax or locally nilpotent.

Groups whose proper subgroups are Baer-b
Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)
✍ Abdelhafid Badis; Nadir Trabelsi πŸ“‚ Article πŸ“… 2011 πŸ› SP Versita 🌐 English βš– 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