Regular subgroups of primitive permutation groups. Memoirs of the American Mathematical Society; 952.

Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan

ISBN 10: 082184654X / ISBN 13: 9780821846544

Editore: Providence, American Math. Soc, 2010

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Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00302 9780821846544 Sprache: Englisch Gewicht in Gramm: 150. Codice articolo 2482811

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Titolo: Regular subgroups of primitive permutation ...

Casa editrice: Providence, American Math. Soc

Data di pubblicazione: 2010

Legatura: Softcover

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Riassunto:

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.