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K-loops from classical groups over ordered fields

Research paper by Hubert Kiechle

Indexed on: 01 Feb '98Published on: 01 Feb '98Published in: Journal of Geometry



Abstract

K-loops will be constructed as transversals in classical groups over an ordered field. Manywell-known examples are subsumed in the present approach. Special attention is payed to the question which of these K-loops have fixed point free left inner mappings. Some new such examples are given. Isomorphisms between some of the K-loops are established as well.