On Centralizers in Locally Finite Groups
✍
Pavel Shumyatsky
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 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.