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Regular subgroups of primitive permutation groups - M. W. Liebeck

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Title
Regular subgroups of primitive permutation groups
Author
M. W. Liebeck
format
Paperback / softback
Publisher
American Mathematical Society
Language
English
UK Publication Date
20100228

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.

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Type
BOOK
Keyword Index
Permutation groups.|Finite simple groups.
Country of Publication
Rhode Island
Number of Pages
74

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