Finite permutation groups containing a transitive abelian subgroup |
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| Authors: | Jiangmin Pan Cai Heng Li |
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| Affiliation: | 1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, P. R. China;2. Department of Mathematics, South University of Science and Technology, Shenzhen, P. R. China |
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| Abstract: | In this paper, we classify finite permutation groups with a transitive abelian subgroup that are almost simple, quasiprimitive and innately transitive, which extend the results of Li and Praeger that is on finite permutation groups with a transitive cyclic subgroup. |
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| Keywords: | Almost simple innately transitive permutation group quasiprimitive |
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