Good action on a finite group

Date

2020-10-01

Author

Ercan, Gülin
GÜLOĞLU, İSMAİL ŞUAYİP
Jabara, Enrico

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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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/40208

Journal

JOURNAL OF ALGEBRA

DOI

https://doi.org/10.1016/j.jalgebra.2020.05.032

Collections

Department of Mathematics, Article