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The finite quotients of the multiplicative group of a division algebra of degree 3 are solvable

โœ Scribed by L. H. Rowen; Y. Segev


Publisher
The Hebrew University Magnes Press
Year
1999
Tongue
English
Weight
305 KB
Volume
111
Category
Article
ISSN
0021-2172

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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