关于单$K_4-$群的新刻画

A New Characterization of Simple $K_4$-Groups

中文关键词:  有限群  最高阶元素的阶  次高阶元素的阶  单$K_4-$群  刻画

英文关键词:finite group  the largest element order  the second largest element order  simple $K_4$-group  characterization

中文摘要:

      本文用群阶和高阶元素的阶刻画了部分单$K_4-$群. 所谓单$K_4$-群就是其阶只含4个素因子的单群.

英文摘要:

      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.