A Proof of Euler's Theorem via Quandles

2021/11/27 by Lages, António, Lopes, Pedro
#11A99 #20N99 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.13988

Abstract

We prove Euler's theorem of number theory developing an argument based on quandles. A quandle is an algebraic structure whose axioms mimic the three Reidemeister moves of knot theory.

Related

• A Survey of Quandle Ideas
• On the Euler characteristics for quandles
• A homogeneous presentation of symmetric quandles
• The quandary of quandles: The Borel completeness of a knot invariant
• The quandle and group for higher-dimensional and virtual knots