Atıf İçin Kopyala
Ercan G., Guloglu I. S., Jabara E.
Journal of Algebra and its Applications, cilt.21, sa.11, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
21
Sayı:
11
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Basım Tarihi:
2022
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Doi Numarası:
10.1142/s021949882250222x
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Dergi Adı:
Journal of Algebra and its Applications
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Anahtar Kelimeler:
Good action, fitting height, fixed point free action, supersolvable, p-nilpotent
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
Let G and A be groups where A acts on G by automorphisms. We say "the action of A on G is good"if the equality H = [H,B]CH(B) holds for any subgroup B of A and for any B-invariant subgroup H of G. It is straightforward that every coprime action is a good action. In this work, we extend some results due to Ward, Gross, Shumyatsky, Jabara and Meng and Guo under coprime action to good action.