A Note on p-Nilpotence of Finite Groups
โ Scribed by Wujie Shi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 34 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
presented a formula for the Schur multiplier of a regular product of groups. In this paper, first, it is shown that the Baer-invariant of a nilpotent product of groups with respect to the variety of nilpotent groups has a homomorphic image and in finite case a subgroup of Haebich's type. Second, a f
## 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
We explore the class of generalized nilpotent groups in the universe c of all radical locally finite groups satisfying min-p for every prime p. We obtain that this class is the natural generalization of the class of finite nilpotent groups from the finite universe to the universe c . Moreover, the s