On the notion of lower central series for loops
| dc.creator | Mostovoy, Jacob | |
| dc.date | 2004-10-24 | |
| dc.date.accessioned | 2026-07-07T05:13:39Z | |
| dc.date.available | 2026-07-07T05:13:39Z | |
| dc.description | The commutator calculus is one of the basic tools in group theory. However, its extension to the non-associative context, based on the usual definition of the lower central series of a loop, is not entirely satisfactory. Namely, the graded abelian group associated to the lower central series of a loop is not known to carry any interesting algebraic structure. In this note we construct a new generalization of the lower central series to arbitrary loops that is tailored to produce a set of multilinear operations on the associated graded group. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410515 | |
| dc.identifier | http://arxiv.org/abs/math/0410515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72985 | |
| dc.subject | Group Theory | |
| dc.subject | 20N05 | |
| dc.title | On the notion of lower central series for loops | |
| dc.type | text |