Multiplicative loops of $2$-dimensional topological quasifields
Rings and Algebras
2015-07-07 v1
Abstract
We determine the algebraic structure of the multiplicative loops for locally compact -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 -dimensional compact subgroup. In the last section we determine explicitly the quasifields which coordinatize locally compact translation planes of dimension admitting an at least -dimensional Lie group as collineation group.
Keywords
Cite
@article{arxiv.1507.01137,
title = {Multiplicative loops of $2$-dimensional topological quasifields},
author = {Giovanni Falcone and Ágota Figula and Karl Strambach},
journal= {arXiv preprint arXiv:1507.01137},
year = {2015}
}
Comments
accepted for publication in Communications in Algebra