Characterization of finite simple group D n (2)

doi:10.1007/s11464-009-0053-1

Front. Math. China

2010, Vol. 5

Issue (1) : 179-190 https://doi.org/10.1007/s11464-009-0053-1

Research articles

Characterization of finite simple group D n (2)

Lingli WANG,

School of Science, North University of China, Taiyuan 030051, China;

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Abstract Let G be a finite group, and let π_e(G) be the spectrum of G, that is, the set of all element orders of G. In 1987, Shi Wujie put forward the following conjecture. If G is a finite group and M is a non-abelian simple group, then G≌M if and only if G=M and π_e(G)=π_e(M). In this short paper, we prove that if G is a finite group, then G≌M if and only if G=M and π_e(G)=π_e(M), where M=D_n(2) and n is even.

Keywords Finite group simple group order of element prime graph

Issue Date: 05 March 2010

Cite this article:

Lingli WANG. Characterization of finite simple group D n (2)[J]. Front. Math. China, 2010, 5(1): 179-190.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0053-1
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I1/179

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