关键词: -可分解因子的次正规对, -可分解因子的特征标, &pi, 极大&pi, -可分群, &pi

Abstract:

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.

Key words: π-separable groups, the maximal π-factorable subnormal pairs, π-factorable character