Indecomposable racks of order p^2
Quantum Algebra
2007-05-23 v1 Geometric Topology
Abstract
We classify indecomposable racks of order p^2 (p a prime). There are 2p^2 - 2p - 2 isomorphism classes, among which 2p^2 - 3p - 1 correspond to quandles. In particular, we prove that an indecomposable quandle of order p^2 is affine (=Alexander). One of the results yielding this classification is the computation of the quandle nonabelian second cohomology group of an indecomposable quandle of prime order; which turns out to be trivial, as in the abelian case.
Keywords
Cite
@article{arxiv.math/0203157,
title = {Indecomposable racks of order p^2},
author = {Matias Graña},
journal= {arXiv preprint arXiv:math/0203157},
year = {2007}
}
Comments
8 pages