## 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
β¦ LIBER β¦
The enumeration of subgroups in finite p-groups
β Scribed by V. N. Shokuev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 183 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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Let F be the class of finite groups which contain nonconjugate Carter subgroups and assume that F is nonempty. Then it has been shown that a member of F, of minimal order, should be an almost simple group A. In this paper, using CFSG, we restrict the possibilities for such A: in particular we show t