| Title:
|
On complemented subgroups of finite groups (English) |
| Author:
|
Miao, Long |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
1019-1028 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A subgroup $H$ of a group $G$ is said to be complemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K=1$. In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about $p$-nilpotent groups. (English) |
| Keyword:
|
finite group |
| Keyword:
|
$p$-nilpotent group |
| Keyword:
|
primary subgroups |
| Keyword:
|
complemented subgroups |
| MSC:
|
20D10 |
| MSC:
|
20D15 |
| MSC:
|
20D20 |
| MSC:
|
20D40 |
| idZBL:
|
Zbl 1157.20323 |
| idMR:
|
MR2261674 |
| . |
| Date available:
|
2009-09-24T11:40:54Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128127 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
