On Φ-τ-quasinormal subgroups of finite groups

Author(s):

Y. Mao * , X. Ma , X. Tang , J. Huang

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
ýLet τ be a subgroup functor and H a p-subgroup of a finite group Gý. ýLet G¯=G/HG and H¯=H/HGý. ýWe say that H is Φ-τ-quasinormal in G if for some S-quasinormal subgroup T¯ of G¯ and some τ-subgroup S¯ of G¯ contained in H¯ý, ýH¯T¯ is S-quasinormal in G¯ and H¯∩T¯≤S¯Φ(H¯)ý. ýIn this paperý, ýwe study the structure of a group G under the condition that some primary subgroups of G are Φ-τ-quasinormal in Gý. ýSome new characterizations about p-nilpotency and solubility of finite groups are obtained.
Keywords:

S , quasinormal subgroups , p , nilpotent subgroups? , ?subgroup functor , soluble group?

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2169 to 2182
https://www.magiran.com/p1850895