On locally finite k-homogeneous permutation groups
โ Scribed by M. Yoshizawa
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 197 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti
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.