| Title:
|
A note on weakly-supplemented subgroups of finite groups (English) |
| Author:
|
Pan, Hong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
1051-1054 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A subgroup $H$ of a finite group $G$ is weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G=HK$. In the paper, we extend one main result of Kong and Liu (2014). (English) |
| Keyword:
|
weakly-supplemented subgroup |
| Keyword:
|
$p$-nilpotent group |
| Keyword:
|
supersolvable group |
| MSC:
|
20D10 |
| MSC:
|
20D20 |
| idZBL:
|
Zbl 07031696 |
| idMR:
|
MR3881895 |
| DOI:
|
10.21136/CMJ.2017.0067-17 |
| . |
| Date available:
|
2018-12-07T06:21:01Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147520 |
| . |
| Reference:
|
[1] Arad, Z., Ward, M. B.: New criteria for the solvability of finite groups.J. Algebra 77 (1982), 234-246. Zbl 0486.20018, MR 0665175, 10.1016/0021-8693(82)90288-5 |
| Reference:
|
[2] Hall, P.: A characteristic property of soluble groups.J. Lond. Math. Soc. 12 (1937), 198-200. Zbl 0016.39204, MR 1575073, 10.1112/jlms/s1-12.2.198 |
| Reference:
|
[3] Hall, P.: Complemented groups.J. Lond. Math. Soc. 12 (1937), 201-204. Zbl 0016.39301, MR 1575074, 10.1112/jlms/s1-12.2.201 |
| Reference:
|
[4] Kong, Q., Liu, Q.: The influence of weakly-supplemented subgroups on the structure of finite groups.Czech. Math. J. 64 (2014), 173-182. Zbl 1321.20021, MR 3247453, 10.1007/s10587-014-0092-y |
| Reference:
|
[5] Li, D., Guo, X.: The influence of $c$-normality of subgroups on the structure of finite groups II.Commun. Algebra 26 (1998), 1913-1922. Zbl 0906.20012, MR 1621704, 10.1080/00927879808826248 |
| . |
