Buchsteiner loops: associators and constructions
| dc.creator | Drapal, Ales | |
| dc.creator | Kinyon, Michael | |
| dc.date | 2008-12-02 | |
| dc.date.accessioned | 2026-07-07T12:08:34Z | |
| dc.date.available | 2026-07-07T12:08:34Z | |
| dc.description | Let $Q$ be a Buchsteiner loop. We describe the associator calculus in three variables, and show that $|Q| \ge 32$ if $Q$ is not conjugacy closed. We also show that $|Q| \ge 64$ if there exists $x \in Q$ such that $x^2$ is not in the nucleus of $Q$. Furthermore, we describe a general construction that yields all proper Buchsteiner loops of order 32. Finally, we produce a Buchsteiner loop of order 128 that is nilpotency class 3 and possesses an abelian inner mapping group. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0812.0412 | |
| dc.identifier | http://arxiv.org/abs/0812.0412 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209362 | |
| dc.subject | Group Theory | |
| dc.subject | 20N05 | |
| dc.title | Buchsteiner loops: associators and constructions | |
| dc.type | text |