A New Characterization of Simple K 3-Groups

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 fin...

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Bibliographic Details
Published in:Communications in algebra 2012-10, Vol.40 (10), p.3903-3911
Main Authors: He, Li-Guan, Chen, Gui-Yun
Format: Article
Language:English
Subjects:
Characterization
group
Simple K
The largest element order
The order of a group
The second largest element order
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Summary: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.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2011.598595