Atıf İçin Kopyala
ATLIHAN S., Dixon M. R., Evans M. J.
Journal of Algebra, cilt.641, ss.530-533, 2024 (SCI-Expanded)
-
Yayın Türü:
Makale / Tam Makale
-
Cilt numarası:
641
-
Basım Tarihi:
2024
-
Doi Numarası:
10.1016/j.jalgebra.2023.11.008
-
Dergi Adı:
Journal of Algebra
-
Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
-
Sayfa Sayıları:
ss.530-533
-
Anahtar Kelimeler:
Nilpotent group, Permutable subgroup, Quasihamiltonian group
-
Gazi Üniversitesi Adresli:
Evet
Özet
Let G be a locally graded group and suppose that every non-nilpotent subgroup of G is permutable. We prove that G is soluble. (In light of previous results of the authors, it suffices to prove that G is soluble if it is periodic.)