pith. sign in

arxiv: 1305.5898 · v1 · pith:T5TPUFPAnew · submitted 2013-05-25 · 🧮 math.GR

D-loops

classification 🧮 math.GR
keywords loopsloopclassip-loopsantiautomorphicbasicconstructionsd-loops
0
0 comments X
read the original abstract

$D$-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest $D$-loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of $D$-loops from IP-loops. Unfortunately, a loop isotopic to a $D$-loop may not be a $D$-loop.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.