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A note on the localization of finite groups

โœ Scribed by Assaf Libman


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
54 KB
Volume
148
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES


On Centralizers in Locally Finite Groups
โœ Pavel Shumyatsky ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

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.