一类特殊的无限非正则p-群Ⅱ

A Special Class of Infinite Irregular p-GroupsⅡ

对于群本身是非正则的但其每一个无限子群均为正则的一类局部幂零p-群给出了结构的刻画,证明了:若局部幂零p群是正则的且其每一个子群是次正规的,则该群是幂零的.

In this paper, we get the detailed structure of the locally nilpotent p-group G which is irregular, while each proper infinite subgroups is regular, moreover, we get that G is nilpotent if the locally nilpotent p-group G is regular and each proper subgroup of G is subnormal.