%A HAI Jin-ke, WANG Sheng-fang, LI Zheng-xing %T On the maximal π-factorable subnormal pairs %0 Journal Article %D 2014 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.0.2013.250 %P 1-3 %V 49 %N 2 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_2328.shtml} %8 2014-02-20 %X

Based on existing results in the literature, the π-factorable subnormal pairs of π-separable groups are further discussed. It is proved that the automorphism group has an action on the set of maximal π-factorable subnormal pairs. As a direct result of the action, maximal π-factorable subnormal pairs are conjugate. In particular, Frattini argument of maximal π-factorable subnormal pairs is obtained.