Solvable Groups with a Small Number of Prime Divisors in the Element Orders
β Scribed by T.M. Keller
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 1006 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
## Abstract All finite solvable groups that have symmetric sequencings are characterized. Let __G__ be a finite solvable group. It is shown that __G__ has a symmetric sequencing if and only if __G__ has a unique element of order two and is not the quaternion group. All finite groups with a unique e
Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of