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
On the Fitting Subgroup of a Polycyclic-by-Finite Group and Its Applications
โ Scribed by Bettina Eick
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 95 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
We show that if P is a Sylow 2-subgroup of the finite symplectic group m ลฝ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mลฝ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mลฝ my1.r2 is the largest possible degree of a
## Abstract The main objective of this paper is to study and describe the hypercentre of a finite group associated with saturated formations, in terms of some subgroup embedding properties related to permutability. (ยฉ 2008 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
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