| Title:
|
Endomorphism kernel property for finite groups (English) |
| Author:
|
Ghumashyan, Heghine |
| Author:
|
Guričan, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
347-358 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta $ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian groups which have EKP. (English) |
| Keyword:
|
endomorphism kernel property |
| Keyword:
|
nilpotent group |
| Keyword:
|
$p$-group |
| MSC:
|
08A35 |
| MSC:
|
20D15 |
| MSC:
|
20K01 |
| MSC:
|
20K27 |
| MSC:
|
20K30 |
| idZBL:
|
Zbl 07584129 |
| idMR:
|
MR4482310 |
| DOI:
|
10.21136/MB.2021.0171-20 |
| . |
| Date available:
|
2022-09-05T09:38:11Z |
| Last updated:
|
2022-12-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151012 |
| . |
| Reference:
|
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| Reference:
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| . |
