Braces of order p2q

Abstract

In this article we classify the left braces of order p2q where p,q are primes fulfilling q > p+1. This classification includes a proof of three conjectures of Guarnieri and Vendramin ([Conjectures 6.2-6.4]Vendraminskew) concerning the number of isomorphism classes of left braces of order p2q for certain values of p,q.

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