Bol loops of order pq

DOI10.1017/S030500410005814XzbMath0463.20050OpenAlexW1984325618MaRDI QIDQ3913601

Harald Niederreiter, Karl H. Robinson

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410005814x

zbMATH Keywords

Bol loopsBol loops of order pq

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

Generating orthomorphisms of \(GF(q)^ +\) ⋮ Bol loops and Bruck loops of order \(pq\) up to isotopism ⋮ On isomorphisms and isotopisms of bol loops of order 3_p ⋮ Constructing $8$-bit permutations, $8$-bit involutions and $8$-bit orthomorphisms with almost optimal cryptographic parameters ⋮ On the classification of bol loops of order 3p (P>3) ⋮ Quasigroups ⋮ Loop cohomology ⋮ Bol loops and Bruck loops of order \(pq\) ⋮ Unnamed Item ⋮ Several classes of complete permutation polynomials over finite fields of even characteristic ⋮ \(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\) ⋮ Examples of finite and infinite \(K\)-loops ⋮ On commutative A-loops of order PQ ⋮ Cyclotomic \(\mathcal R\)-orthomorphisms of finite fields ⋮ A new construction of Bol loops of order \(8k\). ⋮ The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of abelian groups ⋮ Orthomorphisms of abelian groups with minimum possible pairwise distances ⋮ A class of Bol loops whose nuclei are not normal ⋮ On constructing complete permutation polynomials over finite fields of even characteristic ⋮ A class of non-Moufang Bol loops isomorphic to all their loop isotopes ⋮ On \(K\)-loops of finite order

Cites Work

• On loops of odd order. II
• On loops of odd order
• Moufang Loops of Small Order. I
• Bol Loops
• The Construction of Orthogonal Latin Squares
• Quasigroups. II