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Good action on a finite group
Date
2020-10-01
Author
Ercan, Gülin
GÜLOĞLU, İSMAİL ŞUAYİP
Jabara, Enrico
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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