Automorphisms fixing every subnormal subgroup of a finite group
β Scribed by Derek J. S. Robinson
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 249 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou
Let F be a finitely generated free group, and let n denote its rank. A subgroup H of F is said to be automorphism-fixed, or auto-fixed for short, if there exists a set S of automorphisms of F such that H is precisely the set of elements fixed by every element of S; similarly, H is 1-auto-fixed if th
formation of all nilpotent groups, the F F-subnormal subgroups of G are exactly the subnormal subgroups of G. Let F F be a subgroup-closed saturated formation containing N N. It is rather easy to see that if F F is closed under the product of normal subgroups, then G F F s A F F B F F for every pai