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Regular Subgroups of Primitive Permutation Groups (Memoirs of the American Mathematical Society) - Softcover

 
9780821846544: Regular Subgroups of Primitive Permutation Groups (Memoirs of the American Mathematical Society)

Synopsis

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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  • PublisherAmer Mathematical Society
  • Publication date2010
  • ISBN 10 082184654X
  • ISBN 13 9780821846544
  • BindingPaperback
  • Number of pages74

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Liebeck, Martin W., Praeger, Cheryl E., Saxl, Jan
Published by Amer Mathematical Society, 2010
ISBN 10: 082184654X ISBN 13: 9780821846544
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Liebeck, Martin W., Praeger, Cheryl E., Saxl, Jan
Published by Amer Mathematical Society, 2010
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