# Non-associative Loops for Holger Bech Nielsen

@article{Frampton2001NonassociativeLF, title={Non-associative Loops for Holger Bech Nielsen}, author={Paul H. Frampton and Sheldon Lee Glashow and Thomas W. Kephart and Ryan M. Rohm}, journal={arXiv: High Energy Physics - Theory}, year={2001} }

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.

## 2 Citations

### ON SOME ASSOCIATE ALGEBRAIC STRUCTURES

- Mathematics
- 2013

N ice loops are non-associative algebraic structures which lie between quasigroup and abelian group. In this paper, I prove some results on nice loops and uniform groups. Some algebraic structures…

### Construction of a Family of Nafil Loops of Odd Order n = 2m +1

- Mathematics
- 2009

The existence of NAFIL loops of every odd order n => 5 is established by construction. These are non-associative finite invertible loops that are simple and power-associative and they form an…

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