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.
On locally finite groups factorized by locally nilpotent subgroups
โ Scribed by Silvana Franciosi; Francesco de Giovanni; Yaroslav P. Sysak
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 754 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
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The main result of the paper is the following theorem. Let G be a locally finite group containing a finite p-subgroup A such that C G A is finite and a non-cyclic subgroup B of order p 2 such that C G b has finite exponent for all b โ B # . Then G is almost locally solvable and has finite exponent.