English

Braces of order $p^2q$

Quantum Algebra 2018-02-27 v2

Abstract

In this article we classify the left braces of order p2qp^2q where p,qp,q are primes fulfilling q>p+1q > p+1. This classification includes a proof of three conjectures of Guarnieri and Vendramin (\cite[Conjectures 6.2-6.4]{Vendramin_skew}) concerning the number of isomorphism classes of left braces of order p2qp^2q for certain values of p,qp,q.

Cite

@article{arxiv.1801.06911,
  title  = {Braces of order $p^2q$},
  author = {Carsten Dietzel},
  journal= {arXiv preprint arXiv:1801.06911},
  year   = {2018}
}

Comments

21 Pages. Some arguments have been added to Theorem 2. Comments welcome!

R2 v1 2026-06-22T23:51:26.481Z