一类阶为2p^(2)q的CA-群

A Kind of CA-Groups of Order 2p^(2)q

如果对于任意x∈G\Z(G),都有C_(G)(x)交换,则称群G为CA-群.通过反证法,证明了2p^(2)q阶群是CA-群,其中p<q为奇素数,p■q-1.

If C_(G)(x)is commutative for any x∈G\Z(G),then the group G is called a CA-group.It is proved in this paper that the group of order 2p^(2)q is a CA-group by using reduction to absurdity,where p<q are all odd primes and p■q-1.