Self-invariant \(1\)-factorizations of complete graphs and finite Bol loops of exponent \(2\).

zbMath1208.20064MaRDI QIDQ846759

Barbara Baumeister, Alexander Stein

Publication date: 9 February 2010

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232267

zbMATH Keywords

sectionscomplete graphsMoufang loops1-factorizationsnormal subloopsfinite Bol loopssimple loopsself-invariant factorizationssoluble loops

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Loops, quasigroups (20N05)

Related Items

Middle Bruck loops and the total multiplication group ⋮ Free Bol loops of exponent two ⋮ Bol loops and Bruck loops of order \(pq\) ⋮ On Bruck loops of 2-power exponent. ⋮ The finite Bruck loops. ⋮ On the smallest simple, unipotent Bol loop.