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

Authors:	Jianxing Bi

Institution:	(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, whereR ₁ Syl_r G andR ₂ Syl_r (L _n(q)), thenG L _n(q).

Keywords:	Finite simple group Sylow subgroup Normalizer
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