Searching for small simple automorphic loops

DOI10.1112/S1461157010000173zbMath1225.20052arXiv1006.3886OpenAlexW3104471689MaRDI QIDQ3092485

Gábor P. Nagy, Petr Vojtěchovský, Kenneth W. Johnson, Michael K. Kinyon

Publication date: 16 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3886

zbMATH Keywords

algorithmsautomorphismsGAPfinite loopsantiautomorphic inverse property loopsnonassociative simple commutative automorphic loopsright inner mappingssimple right automorphic loops

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Loops, quasigroups (20N05) Primitive groups (20B15)

Related Items (8)

Incidence properties of cosets in loops ⋮ Lie's correspondence for commutative automorphic formal loops ⋮ Solvability of commutative automorphic loops ⋮ Half-isomorphisms of automorphic loops ⋮ Nilpotency in automorphic loops of prime power order. ⋮ A Class of Loops Categorically Isomorphic to Bruck Loops of Odd Order ⋮ The structure of automorphic loops ⋮ Simple right conjugacy closed loops

Uses Software

• GAP
• GRAPE
• LOOPS

Cites Work

• Unnamed Item
• Alternating groups and Latin squares

This page was built for publication: Searching for small simple automorphic loops