Good action on a finite group

Ercan, Gülin
Jabara, Enrico
Let G and A be finite groups with A acting on G by automorphisms. In this paper we introduce the concept of "good action"; namely we say the action of A on G is good, if H = [H, B]C-H (B) for every subgroup B of A and every B-invariant subgroup H of G. This definition allows us to prove a new noncoprime Hall-Higman type theorem.

Citation Formats
G. Ercan, İ. Ş. GÜLOĞLU, and E. Jabara, “Good action on a finite group,” JOURNAL OF ALGEBRA, vol. 560, pp. 486–501, 2020, Accessed: 00, 2020. [Online]. Available: