𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Centralizers of subgroups in simple locally finite groups

✍ Scribed by Ersoy, Kıvanç; Kuzucuoğlu, Mahmut


Book ID
119968827
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2012
Tongue
English
Weight
173 KB
Volume
15
Category
Article
ISSN
1433-5883

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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.