Multiplicative Loops of 2-Dimensional Topological Quasifields
Multiplicative Loops of 2-Dimensional Topological Quasifields
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 …