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On the Representation of a Group of Finite Order as a Permutation Group, and on the Composition of Permutation Groups

โœ Scribed by Burnside, W.


Book ID
120104056
Publisher
Oxford University Press
Year
1901
Tongue
English
Weight
257 KB
Volume
s1-34
Category
Article
ISSN
0024-6115

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โœ Derek F. Holt; Jacqueline Walton ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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