The strong admissibility of finite Moufang loops

Anthony B Evans,Stephen M Gagola

doi:10.1016/j.disc.2019.06.009

The strong admissibility of finite Moufang loops

Anthony B Evans, Stephen M Gagola

Open Access

https://doi.org/10.1016/j.disc.2019.06.009

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Journal: Discrete Mathematics	Publication Date: Jun 18, 2019
License type: publisher-specific-oa

Affiliation: Wright State University, University of South Carolina

#Moufang Loops #Finite Loops + Show 3 more

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Abstract

A loop L is strongly admissible if there exists a bijection ϕ:L→L for which the mappings g↦gϕ(g) and g↦g(gϕ(g)) are both bijections. We derive some results on the strong admissibility of finite nonassociative Moufang loops, constructed from groups using the Chein constructions.

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