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Strong finiteness conditions in locally finite groups

โœ Scribed by Otto H. Kegel; Bertram A. F. Wehrfritz

Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
937 KB
Volume
117
Category
Article
ISSN
0025-5874

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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 โˆˆ B # . Then G is almost locally solvable and has finite exponent.