If a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal normal subgroup of G, then AN or BN is nilpotent. This result is extended to several classes of infinite groups.
On finite dinilpotent groups
β Scribed by Stewart E. Stonehewer
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 332 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
## Abstract The structure of the finite Krutikβgroups is investigated. It is shown that they are solvable groups with very special properties.
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 Ε½ . residually finite and soluble minimax -by-finite group G
## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with