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Finite groups with maximal element centralizers

✍ Scribed by L. F. Kosvintsev


Publisher
SP MAIK Nauka/Interperiodica
Year
1973
Tongue
English
Weight
145 KB
Volume
13
Category
Article
ISSN
0001-4346

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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.