Half-automorphism group of Chein loops

2020/02/17 by Giliard Souza dos Anjos, Anjos, Giliard Souza dos
Engineering · Mathematics · #20N05 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2002.06853

openalex publication_date 2020/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A bijection f of a loop L is a half-automorphism if f(xy)∈ \f(x)f(y),f(y)f(x)\, for any x,y∈ L. A half-automorphism is nontrivial when it is neither an automorphism nor an anti-automorphism. A Chein loop L=G∪ Gu is a Moufang loop constructed from a group G and an element u of order 2 outside of G. In this paper, the half-automorphism group of finite Chein loops is described.

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