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http://dx.doi.org/10.4134/BKMS.2015.52.6.2025

A CHARACTERIZATION OF SOME PGL(2, q) BY MAXIMUM ELEMENT ORDERS  

LI, JINBAO (Chongqing Key Laboratory of Group & Graph Theories and Applications Chongqing University of Arts and Sciences)
SHI, WUJIE (Chongqing Key Laboratory of Group & Graph Theories and Applications Chongqing University of Arts and Sciences)
YU, DAPENG (Chongqing Key Laboratory of Group & Graph Theories and Applications Chongqing University of Arts and Sciences)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 2025-2034 More about this Journal
Abstract
In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with $p{\geqslant}3$ a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if $q=p^n$ with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.
Keywords
finite simple groups; maximum element order; characterization;
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