| Title:
|
On weakly-supplemented subgroups of finite groups (English) |
| Author:
|
Kong, Qingjun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
39-43 |
| 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 this paper, some interesting results with weakly-supplemented minimal subgroups to a smaller subgroup of $G$ are obtained. (English) |
| Keyword:
|
weakly-supplemented subgroup |
| Keyword:
|
complemented subgroup |
| Keyword:
|
supersolvable group |
| MSC:
|
20D10 |
| MSC:
|
20D20 |
| idZBL:
|
Zbl 07088767 |
| idMR:
|
MR3923572 |
| DOI:
|
10.21136/CMJ.2018.0150-17 |
| . |
| Date available:
|
2019-03-08T14:54:46Z |
| Last updated:
|
2021-04-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147615 |
| . |
| Reference:
|
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| 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] Huppert, B.: Endliche Gruppen I.Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 134, Springer, Berlin (1967), German. Zbl 0217.07201, MR 0224703, 10.1007/978-3-642-64981-3 |
| Reference:
|
[5] 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:
|
[6] 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 |
| Reference:
|
[7] Pan, H.: A note on weakly-supplemented subgroups of finite groups.(to appear) in Czech. Math. J. (2018). MR 3881895, 10.21136/CMJ.2017.0067-17 |
| . |
