再论二性群的结构

A Further Study on the Structure of Ambivalent Groups

设G是有限群.如果G中的每个元素与其逆元素共轭,则称G是二性群.探讨了4pq阶、8p阶、16p阶(其中p,q是奇素数,且p<q)以及亚循环二性群的结构,得到了一些结果.

In the report,let G be a finite group.If every element in G is conjugate to its inverse,G is called ambivalent.And the structure of ambivalent groups of order 4pq,8p,16p(where p and q are odd primes with p<q)and metacyclic type were discussed,and some results were obtained.