Nilpotency and dimension series for loops
Group Theory
2007-05-23 v1
Abstract
We take a step towards the development of a nilpotency theory for loops based on the commutator-associator filtration instead of the lower central series. This nilpotency theory shares many essential features with the associative case. In particular, we show that the isolator of the nth commutator-associator subloop coincides with the nth dimension subloop over a field of characteristic zero.
Keywords
Cite
@article{arxiv.math/0510161,
title = {Nilpotency and dimension series for loops},
author = {J. Mostovoy},
journal= {arXiv preprint arXiv:math/0510161},
year = {2007}
}
Comments
10 pages, no figures