Locally graded groups with all non-nilpotent subgroups permutable

ATLIHAN, SEVGİ; Dixon, Martyn; Evans, Martin

doi:10.1016/j.jalgebra.2023.05.020

Locally graded groups with all non-nilpotent subgroups permutable

ATLIHAN S., Dixon M. R., Evans M. J.

Journal of Algebra, cilt.632, ss.62-69, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 632
Basım Tarihi: 2023
Doi Numarası: 10.1016/j.jalgebra.2023.05.020
Dergi Adı: Journal of Algebra
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.62-69
Anahtar Kelimeler: Nilpotent group, Permutable subgroup, Quasihamiltonian group
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.