| Title | Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups |
| Author | |
| Publication Years | 2022
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| DOI | |
| Source Title | |
| ISSN | 0065-9266
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| EISSN | 1947-6221
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| Volume | 279Issue:1375 |
| Abstract | A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Hoffman-Singleton graph. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
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| SUSTech Authorship | First
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| Funding Project | National Natural Science Foundation of China[11501011];National Natural Science Foundation of China[11771200];National Natural Science Foundation of China[11931005];
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| WOS Research Area | Mathematics
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| WOS Subject | Mathematics
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| WOS Accession No | WOS:000950521900001
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| Publisher | |
| ESI Research Field | MATHEMATICS
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| Scopus EID | 2-s2.0-85137110016
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| Data Source | Scopus
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| Citation statistics |
Cited Times [WOS]:1
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| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/401667 |
| Department | Department of Mathematics 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| Affiliation | 1.SUSTech International Center for Mathematics,The Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China 2.The School of Mathematics and Statistics,The University of Melbourne,Parkville,3010,Australia |
| First Author Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| First Author's First Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| Recommended Citation GB/T 7714 |
Li，Cai Heng,Xia，Binzhou. Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,2022,279(1375).
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| APA |
Li，Cai Heng,&Xia，Binzhou.(2022).Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,279(1375).
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| MLA |
Li，Cai Heng,et al."Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups".MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 279.1375(2022).
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