Overview

The authors address the classical problem of determining finite primitive permutation groups G with a regular subgroup B. The main theorem solves the problem completely under the assumption that G is almost simple. While there are many examples of regular subgroups of small degrees, the list is rather short (just four infinite families) if the degree is assumed to be large enough, for example at least 30!. Another result determines all primitive groups having a regular subgroup which is almost simple. This has an application to the theory of Cayley graphs of simple groups.

Full Product Details

Author:   Martin W. Liebeck ,  Cheryl E. Praeger ,  Jan Saxl
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   203, No. 952
Weight:   0.145kg
ISBN:  

9780821846544

ISBN 10:   082184654
Pages:   74
Publication Date:   28 February 2010
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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