Dimension filtration on loops
Group Theory
2007-05-23 v1
Abstract
We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero. The key to the proof is the interpretation of the primitive operations of Umirbaev and Shestakov in terms of the operations on a loop that measure the failure of the associator to be a homomorphism.
Cite
@article{arxiv.math/0410516,
title = {Dimension filtration on loops},
author = {J. Mostovoy and J. M. Pérez-Izquierdo},
journal= {arXiv preprint arXiv:math/0410516},
year = {2007}
}
Comments
8 pages