Non-associative Loops for Holger Bech Nielsen
High Energy Physics - Theory
2007-05-23 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
Finite groups are of the greatest importance in science. Loops are a simple generalization of finite groups: they share all the group axioms except for the requirement that the binary operation be associative. The least loops that are not themselves groups are those of order five. We offer a brief discussion of these loops and challenge the reader (especially Holger) to find useful applications for them in physics.
Cite
@article{arxiv.hep-th/0111292,
title = {Non-associative Loops for Holger Bech Nielsen},
author = {Paul H. Frampton and Sheldon L. Glashow and Thomas W. Kephart and Ryan M. Rohm},
journal= {arXiv preprint arXiv:hep-th/0111292},
year = {2007}
}
Comments
12 pages LaTeX. Contribution to Nielsen festschrift