Finite groups of automorphisms of infinite groups, I
โ Scribed by Thomas Fournelle
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 345 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a ลฝ . residually finite and soluble minimax -by-finite group G
We construct a family F F of Frobenius groups having abelian Sylow subgroups ลฝ and non-inner, class-preserving automorphisms. We show that any A-group that is, . a finite solvable group with abelian Sylow subgroups has a sub-quotient belonging to F F provided it has a non-inner, class-preserving aut