| Title:
|
Enumeration of nilpotent loops up to isotopy (English) |
| Author:
|
Clavier, Lucien |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
159-177 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We modify tools introduced in [Daly D., Vojtěchovský P., Enumeration of nilpotent loops via cohomology, J. Algebra 322 (2009), no. 11, 4080--4098] to count, for any odd prime $q$, the number of nilpotent loops of order $2q$ up to isotopy, instead of isomorphy. (English) |
| Keyword:
|
loop |
| Keyword:
|
nilpotent |
| Keyword:
|
enumeration |
| Keyword:
|
cohomology |
| Keyword:
|
isomorphy |
| Keyword:
|
isotopy |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1255.20057 |
| idMR:
|
MR3017252 |
| . |
| Date available:
|
2012-08-08T08:55:03Z |
| Last updated:
|
2014-07-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142881 |
| . |
| Reference:
|
[Cla12] Clavier L.: About the autotopisms of abelian groups.2012, http://arxiv.org/abs/1201.5655. |
| Reference:
|
[DV09] Daly D., Vojtěchovský P.: Enumeration of nilpotent loops via cohomology.J. Algebra 322 (2009), no. 11, 4080–4098. Zbl 1209.20068, MR 2556139, 10.1016/j.jalgebra.2009.03.042 |
| Reference:
|
[Pfl90] Pflugfelder H.O.: Quasigroups and Loops: Introduction.Heldermann, Berlin, 1990. Zbl 0715.20043, MR 1125767 |
| Reference:
|
[PV05] Phillips J.D., Vojtěchovský P.: The varieties of loops of Bol-Moufang type.Algebra Universalis 54 (2005), no. 3, 259–271. Zbl 1102.20054, MR 2219409, 10.1007/s00012-005-1941-1 |
| . |
