D-loops
Group Theory
2013-05-28 v1
Abstract
-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest -loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of -loops from IP-loops. Unfortunately, a loop isotopic to a -loop may not be a -loop.
Cite
@article{arxiv.1305.5898,
title = {D-loops},
author = {Ivan I. Deriyenko and Wieslaw A. Dudek},
journal= {arXiv preprint arXiv:1305.5898},
year = {2013}
}