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Good action on a finite group
Date
2020-10-01
Author
Ercan, Gülin
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
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G. Ercan and E. Jabara, “Good action on a finite group,”
JOURNAL OF ALGEBRA
, pp. 486–501, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40208.