A New Characterization of Simple $K_4$-Groups
Received:May 14, 2014  Revised:March 04, 2015
Key Word: finite group   the largest element order   the second largest element order   simple $K_4$-group   characterization  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11171364; 11271301), the Natural Science Foundation Project of CQ CSTC (Grant No.2014jcyjA00004), the Science and Technology Project of Chongqing Education Committee (Grant No.KJ1400520) and the Foundation Project of Chongqing Normal University (Grant No.14XYY026).
Author NameAffiliation
Liguan HE School of Mathematics, Chongqing Normal University, Chongqing 401331, P. R. China 
Guiyun CHEN School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China 
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      In this paper, we characterize some simple $K_4$-groups only by using the group order and largest element orders, where a simple $K_4$-group is a simple group of order containing exactly four distinct primes.
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