supported by the National Natural Science Foundation of China(Nos.11771129,11301150,11601121);the Natural Science Foundation of Henan Province of China(No.162300410066)
Let G be a finite p-group with a cyclic Frattini subgroup. In this paper, the automorphism group of G is determined.
Project supported by the National Natural Science Foundation of China (Nos. 11371335, 11471055).
A group G is said to have property μ whenever N is a non-locally nitpotent normal subgroup of G, there is a finite non-nilpotent G-quotient of N. FC-groups and groups with property v satisfy property μ, where a grou...