| A New Characterization of Simple $K_4$-Groups |
| Received:May 14, 2014 Revised:March 04, 2015 |
| Key Words:
finite group the largest element order the second largest element order simple $K_4$-group characterization
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| Fund Project: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). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.04.005 |
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