On the minimum length of the chief series of finite, complete, solvable groups of odd order
โ Scribed by Brigitte Schuhmann
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 476 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let \(G\) be a finite group such that every composition factor of \(G\) is either cyclic or isomorphic to the alternating group on \(n\) letters for some integer \(n\). Then for every positive integer \(h\) there is a subset \(A \subseteq G\) such that \(|A| \leqslant(2 h-1)|G|^{1 / h}\) and \(A^{h}
## 2 1 2 1 2 4 2 ลฝ . gam, or a F 2 -amalgam. ## 4 Let G be a nonabelian simple group satisfying the assumption of the ลฝ . Main Theorem. Then G satisfies the assumption of Theorem 2. If 1 or ลฝ . 2 occurs in Theorem 2, we can appeal to some of the existing classification theorems to identify G wi