The Fitting subgroup of a stable group is definable. The generalized Fitting subgroup is type-definable and has the expected properties. 1995 Academic Press, Inc.
The fitting length of the Hughes subgroup
β Scribed by Alberto Espuelas
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 340 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We present an algorithm for determining the Fitting subgroup of a polycyclicby-finite group. As applications we describe methods for calculating the centre and the FC-centre and for exhibiting the nilpotent-by-abelian-by-finite structure of a polycyclic-by-finite group.
A formation is a class 3 of groups which is closed under homomorphic images and is such that each group G has a unique smallest normal subgroup H with factor group in 5. This uniquely determined normal subgroup of G is called the 8-residual subgroup of G and will be denoted here by G,. The formatio