Half-automorphism group of a class of Bol loops

2022/02/07 by de Barros, Dylene Agda Souza, Anjos, Giliard Souza dos
#20B25 #20N05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2202.03405

Abstract

A Bol loop is a loop that satisfies the Bol identity (xy.z)y=x(yz.y). If L is a loop and f:L→ L is a bijection such that f(xy)∈\f(x)f(y),f(y)f(x)\, for every x, y∈ L, then f is called a half-automorphism of L. In this paper, we describe the half-automorphism group of a class of Bol loops of order 4m.

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