Partial homogeneity in locally finite groups
โ Scribed by Richard E. Phillips; Susan E. Schuur
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 746 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-5874
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.
Let G be a finite group of' order N. Then 6' is called sequenceable if there exists a sequence g1 ,gz 1 . ..) gH of distim:t elements Q the partial productsg~,g1g2.,glg2g3, . . . are distinct. Gord that a finite abelian greup G is sequemzeable if and only if G = .A X B, ere ,4 is cyclic of ordey '2"