On  S -quasinormally embedded subgroups of finite groups

Z. Shen; J. Zhang; G. Chen; Y. Chen

doi:10.1134/S0001434617030312

On S-quasinormally embedded subgroups of finite groups

Authors: Shen Z.¹, Zhang J.², Chen G.³, Chen Y.⁴
Affiliations:
1. Department of Mathematics of College of Science
2. School of Science
3. Shandong Water Polytechnic
4. College of Information and Electrical Engineering
Issue: Vol 101, No 3-4 (2017)
Pages: 735-740
Section: Article
URL: https://journals.rcsi.science/0001-4346/article/view/150031
DOI: https://doi.org/10.1134/S0001434617030312
ID: 150031

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Abstract

A subgroup H of a group G is said to be S-quasinormally embedded in G if for every Sylow subgroup P of H, there is an S-quasinormal subgroup K in G such that P is also a Sylow subgroup of K. Groups with certain S-quasinormally embedded subgroups of prime power order are studied. We prove Theorems 1.4, 1.5 and 1.6 of [10] remain valid if we omit the assumption that G is a group of odd order.