Half-isomorphisms of Moufang loops

Michael Kinyon; Izabella Stuhl; Petr Vojtechovsky

doi:10.1016/j.jalgebra.2015.10.022

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arXiv · 1507.00168

Half-isomorphisms of Moufang loops

Michael Kinyon·Izabella Stuhl·Petr Vojtechovsky

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Abstract

We prove that if the squaring map in the factor loop of a Moufang loop $Q$ over its nucleus is surjective, then every half-isomorphism of $Q$ onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.

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BibTeX RIS

Michael Kinyon, Izabella Stuhl, Petr Vojtechovsky. 2015-07-02. Half-isomorphisms of Moufang loops. https://doi.org/10.1016/j.jalgebra.2015.10.022

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