|
|||||
|
|
Abelian point stabilizers in transitive permutation groups |
|
| Authors: | I. M. Isaacs |
| Affiliation: | 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: | |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |