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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

The in uence of partially τ -quasinormal subgroups on the structure of finite groups

Shouhong QİAO
Jianhong HUANG
Changwen Lİ
Sayfa
389–395
Yayın Tarihi
2022-10-18
DOI
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Some new characterizations of p-supersoluble and pnilpotentgroups are obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A subgroup H of a group G is said to be τ -quasinormal in G if Hpermutes with every Sylow subgroup Q of G such that (|H|, |Q|) = 1and (|H|, |QG|) 6= 1; H is called partially τ -quasinormal in G if G has anormal subgroup T such that HT is S-quasinormal in G and H ∩ T ≤HτG, where HτG is the subgroup generated by all those subgroups ofH which are τ -quasinormal in G.
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Temel Bulgular & Veri:In this paper, we investigate theinuence of some partially τ -quasinormal subgroups on the structureof nite group.
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Sonuç & Katkı:Some new characterizations of p-supersoluble and pnilpotentgroups are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

A subgroup H of a group G is said to be τ -quasinormal in G if Hpermutes with every Sylow subgroup Q of G such that (|H|, |Q|) = 1and (|H|, |QG|) 6= 1; H is called partially τ -quasinormal in G if G has anormal subgroup T such that HT is S-quasinormal in G and H ∩ T ≤HτG, where HτG is the subgroup generated by all those subgroups ofH which are τ -quasinormal in G. In this paper, we investigate theinuence of some partially τ -quasinormal subgroups on the structureof nite group. Some new characterizations of p-supersoluble and pnilpotentgroups are obtained.

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Bu Makaleye Atıf Yap

QİAO, S., HUANG, J., Lİ, C. (2022). The in uence of partially τ -quasinormal subgroups on the structure of finite groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 389–395. https://ajindex.com/articles/529971

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Kaynakça (12)

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