| Autor: |
Károlyi, Gy., Kovács, S. J., Pálfy, P. P. |
| Zdroj: |
Aequationes Mathematicae; April 1990, Vol. 39 Issue: 2-3 p161-166, 6p |
| Abstrakt: |
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. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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