System quasinormalizers in finite solvable groups
โ Scribed by Paul Venzke
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 569 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
We present practical algorithms to compute subgroups such as Hall systems, system normalizers, F-normalizers and F-covering subgroups in finite solvable groups. An application is an algorithm to calculate head complements in finite solvable groups; that is, complements which are closely related to m
Let G be a finite group and H be an operator group of G. Suppose that that G is solvable, if H acts non-trivially on G but acts trivially on all proper H-invariant subgroups in an appropriately chosen class subgroups. The detailed structure of such a group G is determined.
In this paper G denotes a finite group. As is well known, the converse of Lagrange's theorem in group theory does not hold. That is, given a finite group G of order n, and given a divisor d of n, G need not have a subgroup of order d. Indeed, a celebrated theorem of P. Hall states that it suffices t