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A class of finite simple Bol loops of exponent 2

2007/09/28 by Gábor P. Nagy, Nagy, Gabor P.
Engineering · Mathematics · #20C20 #20F29 #20N05 #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0709.4544

openalex publication_date 2007/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give an infinite class of finite simple right Bol loops of exponent 2. The right multiplication group of these loops is an extension of an elementary Abelian 2-group by S5. The construction uses the description of the structure of such loops given by M. Aschbacher. These results answer some questions of M. Aschbacher.

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