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arXiv · 1603.08502

On the Fine Structure of Quadratical Quasigroups

R. A. R. Monzo
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Abstract

We prove that quadratical quasigroups form a variety Q of right and left simple groupoids. New examples of quadratical quasigroups of orders 25 and 29 are given. The fine structure of quadratical quasigroups and inter-relationships between their properties are explored. The spectrum of Q is proved to be contained in the set of integers equal to 1 plus a multiple of 4.

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R. A. R. Monzo. 2016-03-08. On the Fine Structure of Quadratical Quasigroups. https://arxiv.org/abs/1603.08502

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