TRANSITIVE PERMUTATION GROUPS WITHOUT SEMIREGULAR SUBGROUPS

A transitive finite permutation group is called elusive if it contains no nontrivial semiregular subgroup. The purpose of the paper is to collect known information about elusive groups. The main results are recursive constructions of elusive permutation groups, using various product operations and a...

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Veröffentlicht in:Journal of the London Mathematical Society 2002-10, Vol.66 (2), p.325-333
Hauptverfasser: CAMERON, PETER J., GIUDICI, MICHAEL, JONES, GARETH A., KANTOR, WILLIAM M., KLIN, MIKHAIL H., MARUšIČ, DRAGAN, NOWITZ, LEWIS A.
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Sprache:eng
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