| Title:
|
Commutative subloop-free loops (English) |
| Author:
|
Beaudry, Martin |
| Author:
|
Marchand, Louis |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
473-484 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe, in a constructive way, a family of commutative loops of odd order, $n\geq 7$, which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group $\mathcal{A}_n$. (English) |
| Keyword:
|
loops |
| Keyword:
|
multiplication group |
| Keyword:
|
alternating group |
| MSC:
|
20D06 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1249.20078 |
| idMR:
|
MR2863992 |
| . |
| Date available:
|
2012-05-01T01:46:44Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142799 |
| . |
| Reference:
|
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| . |
