2015/07/04 by Giovanni Falcone, Falcone, Giovanni, Ágota Figula +3
Engineering · Mathematics · #12K99 #20N05 #22A30 #51A40 #57M60 #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.RA #msc:12K99 #msc:20N05 #msc:22A30 #msc:51A40 #msc:57M60
paper · pdf · doi:10.48550/arxiv.1507.01137
accepted for publication in Communications in Algebra
arxiv created 2015/07/04 · openalex publication_date 2015/07/04 · arxiv updated 2015/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determine the algebraic structure of the multiplicative loops for locally compact 2-dimensional topological connected quasifields. In particular, our attention turns to multiplicative loops which have either a normal subloop of positive dimension or which contain a 1-dimensional compact subgroup. In the last section we determine explicitly the quasifields which coordinatize locally compact translation planes of dimension 4 admitting an at least 7-dimensional Lie group as collineation group.