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arXiv · 1904.12801

On connected quandles of prime power order

Giuliano Bianco·Marco Bonatto
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Abstract

We develop some general ideas to study connected quandles of prime power size and we classify non-affine connected quandles of size $p^3$ for $p>3$, using a combination of group theoretical and universal algebraic tools. As a byproduct we obtain a classification of Bruck loops of the same size and that they are in one-to-one correspondence with commutative automorphic loops.

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Giuliano Bianco, Marco Bonatto. 2019-04-29. On connected quandles of prime power order. https://arxiv.org/abs/1904.12801

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