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ISSN 1947-6221(e) ISSN 0065-9266(p)

Regular subgroups of primitive permutation groups

Author(s): Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl
Journal: Memoirs of the AMS 203 (2010), no. 952.
MSC (2000): Primary 20B15, 05C25
Posted: August 26, 2009
MathSciNet review: 2588738
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We address the classical problem of determining finite primitive permutation groups with a regular subgroup . The main theorem solves the problem completely under the assumption that 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 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.

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