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Loops related to geometric structures
Authors: K. Karzel
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Abstract
There are many connections between loops and geometries: - one can derive loops from several geometries and then use these loops for a "coordinatization" of the geometries, - one can start from loops with certain properties and associate to them geometric structures or - one can use geometric structures -- for instance "chain structures" or "graphs" -- in order to represent loops. Some of these relations I like to discuss here.Fulltext
– 0.35 Mb
Contents
- Advances in loop rings and their loops
- Central automorphisms of Latin square designs and loops
- Loops related to geometric structures
- Computing with small quasigroups and loops
- Connected transversals and multiplication groups of loops
- Four lectures on quasigroup representations
- Gyrogroups, the grouplike loops in the service of hyperbolic geometry and Einstein's special theory of relativity
- Transversals in latin squares
