Abstract
Explicit expressions for the operations of the simple group of order 25920 as products of five or fewer operations of period two are obtained, leading to a determination of the conjugate sets of operations contained in the group. The results are applied to the determination of the nature of certain important subgroups, and to some questions relating to the generation of the group by two operations.
Reference8 articles.
1. Baker 1 9 4 6 A locus with 25920 linear self-transformations. Camb. Univ. Press.
2. Brahana 1 9 3 0 A n n . M ath. (2) 31 529-549.
3. Burkhardt 1 8 9 0 M ath. A n n . 38 161-224.
4. Burnside 1 9 1 1 Theory of groups of fin ite order. 2 nd ed. Camb. Univ. Press.
5. Coble 1 9 0 6 Amer.J.Math. 28 333-366.
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献