Pure quantitative characterization of finite simple groups

doi:10.1007/s11464-007-0008-3

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (1) : 123-125. DOI: 10.1007/s11464-007-0008-3

Pure quantitative characterization of finite simple groups

SHI Wujie

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Abstract

Let G be a finite group, and let π_e(G) be the set of all element orders of G. In this short paper we prove that π_e(Bn(q)) "` π_e(Cn(q)) for all odd q.

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SHI Wujie. Pure quantitative characterization of finite simple groups. Front. Math. China, 2007, 2(1): 123‒125 https://doi.org/10.1007/s11464-007-0008-3