7 papers
Multiplicative loops of -dimensional topological quasifields
Giovanni Falcone, Ágota Figula, Karl Strambach
We determine the algebraic structure of the multiplicative loops for locally compact -dimensional topological connected quasifields. In particular, our attention turns to multip…
Loops on spheres having a compact-free inner mapping group
Ágota Figula, Karl Strambach
We prove that any topological loop homeomorphic to a sphere or to a real projective space and having a compact-free Lie group as the inner mapping group is homeomorphic to the circ…
Loops which are semidirect products of groups
Ágota Figula, Karl Strambach
We construct loops which are semidirect products of groups of affinities. As their elements in many cases one may take transversal subspaces of an affine space. In particular we ob…
Extensions of groups by weighted Steiner loops
Ágota Figula, Karl Strambach
Solving functional equations given in \cite{nagy} for extensions of a group by a weighted Steiner loop we obtain concrete description for all loops with interesting weak as…
Affine Extensions of loops
Agota Figula, Karl Strabach
We show a simple geometric procedure for an extension of a loop realized as the image of a sharply transitive section in a subgroup of the projective linear g…
Loops as sections in compact Lie groups
Agota Figula, Karl Strambach
We prove that there does not exist any connected topological proper loop homeomorphic to a quasi-simple Lie group and having a compact Lie group as the group topologically generate…