Atıf İçin Kopyala
ATLIHAN S., Dixon M. R., Evans M. J.
Journal of Algebra, cilt.632, ss.62-69, 2023 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
632
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Basım Tarihi:
2023
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Doi Numarası:
10.1016/j.jalgebra.2023.05.020
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Dergi Adı:
Journal of Algebra
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Sayfa Sayıları:
ss.62-69
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Anahtar Kelimeler:
Nilpotent group, Permutable subgroup, Quasihamiltonian group
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Gazi Üniversitesi Adresli:
Evet
Özet
The authors prove the following results: Let G be a locally graded group and suppose that every non-nilpotent subgroup of G is permutable. If G is torsion-free, then G is nilpotent. If G is non-periodic, then G is soluble.