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Doubly transitive permutation groups with abelian stabilizers (1990)

Károlyi, Gy. ; Kovács, S. J. ; Pálfy, P. P.

Springer

Aequationes mathematicae 39 (1990), S. 161-166

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ISSN: 1420-8903

Keywords: Primary 20B22

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary We prove that any doubly transitive permutation group with abelian stabilizers is the group of linear functions over a suitable field. The result is not new: for finite groups it is well known, for infinite groups it follows from a more general theorem of W. Kerby and H. Wefelscheid on sharply doubly transitive groups in which the stabilizers have finite commutator subgroups. We give a direct and elementary proof.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01833147

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