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Abelian point stabilizers in transitive permutation groups |
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| Authors: | I M Isaacs |
| Institution: | Department of Mathematics, University of Wisconsin, 480 Lincoln Dr., Madison, Wisconsin 53706 |
| Abstract: | In this note we prove that if the point stabilizer  in a transitive permutation group of degree  is abelian, then the exponent of  is less than  . This extends an earlier result of Andrea Lucchini, who proved this in the case where  is cyclic. |
| Keywords: | |
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