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Derivation of a quotient group in symmetry operations

✍ Scribed by Giuseppe Filippini; Carlo M. Gramaccioli; Massimo Simonetta; Giuseppe B. Suffritti


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
405 KB
Volume
1
Category
Article
ISSN
0097-8485

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Representing the Quotient Groups of a Fi
✍ Derek F. Holt; Jacqueline Walton πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 207 KB

Let G be a permutation group of finite degree d. We prove that the product of the orders of the composition factors of G that are not alternating groups acting naturally, in a sense that will be made precise, is bounded by c d-1 /d, where c = 4 5. We use this to prove that any quotient G/N of G has