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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. doi:10.1006/jabr.2001.8961 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF ALGEBRA | ||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||
ISSN: | 0021-8693 | ||||
Official Date: | 1 February 2002 | ||||
Dates: |
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Volume: | 248 | ||||
Number: | 1 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 307-333 | ||||
DOI: | 10.1006/jabr.2001.8961 | ||||
Publication Status: | Published |
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