| Title: | X-semipermutable subgroups of finite groups |
| Authors: | Guo, W. Shum, K.P. Skiba, A.N. Скиба, А.Н. |
| Keywords: | finite group X-semipermutable group 2-maximal subgroup Supersoluble group Nilpotent group Hall subgroup |
| Issue Date: | 2007 |
| Citation: | Guo, W. X-semipermutable subgroups of finite groups / Wenbin Guo, K.P. Shum, A.N. Skiba // Journal of Algebra. - 2007. - № 315. - P. 31-41 |
| Abstract: | Let X be a non-empty subset of a group G. Then we call a subgroup A of G a X-semipermutable subgroup of G if A has a supplement T in G such that for every subgroup T1 of T there exists an element x ∈ X such that AT x 1 = T1xA. In this paper, we study the properties of X-semipermutable subgroups. In particular, a new version of the famous Schur–Zassenhaus Theorem in terms of X-semipermutable subgroups is given. |
| URI: | http://elib.gsu.by/jspui/handle/123456789/17316 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Guo_Skiba_X-semipermutable_subgroups.pdf | 182.31 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.