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Representing the quotient groups of a finite permutation group
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UNSPECIFIED. (2002) Representing the quotient groups of a finite permutation group. JOURNAL OF ALGEBRA, 248 (1). pp. 307-333. ISSN 0021-8693
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Official URL: http://dx.doi.org/10.1006/jabr.2001.8961
Abstract
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 a faithful permutation representation of degree at most c(d-1). (C) 2002 Elsevier Science (USA).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | JOURNAL OF ALGEBRA |
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| ISSN: | 0021-8693 |
| Date: | 1 February 2002 |
| Volume: | 248 |
| Number: | 1 |
| Number of Pages: | 27 |
| Page Range: | pp. 307-333 |
| Identification Number: | 10.1006/jabr.2001.8961 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/11267 |
Data sourced from Thomson Reuters' Web of Knowledge
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