A New Characterization of Simple K 3-Groups
A New Characterization of Simple K 3-Groups
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DOI：
10.1080/00927872.2011.598595
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发表时间：
2012-09
影响因子：
0.7
通讯作者：
Liguo He;Guiyun Chen
中科院分区：
文献类型：
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作者：
Liguo He;Guiyun Chen
用G的阶和π e（G）刻画有限单群是近30年来的一个著名课题，其中π e（G）表示G中元素的阶集.最近Mazurov等人完成了这一课题，在这里，作者将尝试用较少的量刻画一些有限单群，并成功地用群的阶和最大、次大元的阶刻画了单群K3-群，其中K3-群是一个包含恰好三个不同素数的阶群.
It is a well-known topic to characterize a finite simple group by using two quantities the order of G and π e (G) in the past 30 years, where π e (G) denotes the set of orders of elements in G. Recently this topic has been finished by Mazurov et al. Here the authors will try to characterize some finite simple groups by using less quantities and have successfully characterized simple K 3-groups by using the order of a group and the largest and the second largest element orders, where a K 3-group is a group of order containing exactly three distinct primes.