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| OD-Characterization of Alternating and Symmetric Groups of Degree p+5 |
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Citation： |
Yanxiong YAN,Haijing XU,Guiyun CHEN.OD-Characterization of Alternating and Symmetric Groups of Degree p+5[J].Chinese Annals of Mathematics B,2015,36(6):1001~1010 |
| Page view： 1053
Net amount： 1048 |
Authors： |
Yanxiong YAN; Haijing XU;Guiyun CHEN |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.\,11171364, 11271301, 11471266, 11426182),
the Fundamental Research Funds for the Central Universities
(Nos.\,XDJK2014C163, XDJK2014C162), the Natural Science Foundation
Project of CQ CSTC (No.\,cstc2014jcyjA00010), the Postdoctoral
Science Foundation of Chongqing (No.\,Xm2014029) and the China
Postdoctoral Science Foundation (No.\,2014M562264). |
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| Abstract： |
In this paper, it is proved that all the alternating groups $A_{p+5}$ are $OD$-characterizable and the symmetric groups $S_{p+5}$ are $3$-fold $OD$-characterizable, where $p+4$ is a composite number and $p+6$ is a prime and $5\neq p\in\pi(1000!)$. |
Keywords： |
Prime graph, Degree pattern, Degree of a vertex, Finite simple
groups, Alternating and symmetric groups |
Classification： |
20D05 |
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