A characterization ofL n (q) by the normalizers' orders of their sylow subgroups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A characterization ofL n (q) by the normalizers' orders of their sylow subgroups

Authors:	Jianxing Bi

Affiliation:	(1) Department of Mathematics, Liaoning University, 110036 Shenyang, China

Abstract:	LetG be a finite group. If $left\| {N_G (R_1 )} right\| = left\| {N_{L_n (q)} (R_2 )} right\|$ for every primer, whereR₁ Syl_rG andR₂ Syl_r (L_n(q)), thenG L_n(q).

Keywords:	Finite simple group Sylow subgroup Normalizer
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