On the centralizers on involution in finite fusion-simple groups
โ Scribed by Fredrick Smith
- Book ID
- 107774294
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 304 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 โ B # . Then G is almost locally solvable and has finite exponent.
## dedicated to helmut wielandt on the occasion of his 90th birthday Let H be a finite group having center Z H of even order. By the classical Brauer-Fowler theorem there can be only finitely many non-isomorphic simple groups G which contain a 2-central involution t for which C G t โผ = H. In this