A new characterization of $L_2(q)$ by the largest element orders

Jiang, Q.H.; Shao, ‎C.G.; Shi, W.J.; Zhang, ‎Q.L.

A new characterization of $L_2(q)$ by the largest element orders

Document Type : Research Paper

Authors

¹ School of Mathematical Sciences‎, ‎University of Jinan‎, ‎250022‎, ‎Shandong‎, ‎China.

² Department of Mathematics‎, ‎Chongqing University of Arts and Sciences‎, ‎402106‎, ‎Chongqing‎, ‎China.

³ School of Science‎, ‎NanTong University‎, ‎226019‎, ‎Jiangsu‎, ‎China.

Abstract

‎We characterize the finite simple groups $L_2(q)$ by the group orders and the largest‎ ‎element orders‎, ‎where $q$ is a prime or $q=2^a$‎, ‎with $2^a+1$ or $2^a-1$ a prime‎.

Keywords

Main Subjects

20-XX Group theory and generalizations

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