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Centralizers of Elements in Locally Finite Simple Groups

✍ Scribed by Hartley, B.; Kuzucuoglu, M.


Book ID
120101829
Publisher
Oxford University Press
Year
1991
Tongue
English
Weight
579 KB
Volume
s3-62
Category
Article
ISSN
0024-6115

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πŸ“œ SIMILAR VOLUMES


On Centralizers in Locally Finite Groups
✍ Pavel Shumyatsky πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 ∈ B # . Then G is almost locally solvable and has finite exponent.