Copy For Citation
Ercan G., Güloğlu İ. Ş., Jabara E.
JOURNAL OF ALGEBRA, vol.560, pp.486-501, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
560
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Publication Date:
2020
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Doi Number:
10.1016/j.jalgebra.2020.05.032
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Journal Name:
JOURNAL OF ALGEBRA
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Page Numbers:
pp.486-501
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Keywords:
Solvable group, Automorphism, Fitting height, Fixed point free action, Regular module, POINT FREE ACTION, FREE AUTOMORPHISMS, FITTING LENGTH
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Middle East Technical University Affiliated:
Yes
Abstract
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.