On connected quandles of prime power order

Autor:	Marco Bonatto, Giuliano Bianco
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Pure mathematics Algebra and Number Theory Group (mathematics) Group Theory (math.GR) Algebraic geometry FOS: Mathematics Geometry and Topology Algebraic number Algebra over a field Prime power order Commutative property Prime power Mathematics - Group Theory Mathematics
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9021ea9c8a0d94b05c3645b1fd9b22c8 http://arxiv.org/abs/1904.12801 Zobrazit plný text záznamu