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Webs related to K-loops and reflection structures
Authors:Elisabetta Gabrieli  Bokhee Im  Helmut Karzel
Institution:1. Mathematisches Seminar der Universit?t Hamburg, Bundesstra?e 55, D-20146, Hamburg, Germany
2. Department of Mathematics, Chonnam National University, 500-757, Kwangju, Rep. of Korea
3. Mathematisches Institut, Technische Universit?t München, D-80290, München, Germany
Abstract:We give a characterization of webs (P,g 1,g 2,g) which are related to A1-loops, weakK-loops,K-loops and reflection structures. We also obtain a geometric proof of Kreuzer’S result that the concept ofK-loop is equivalent to that of Brück loop. The first author was supported by a grant from the Vigoni project. The second author wishes to acknowledge the financial support of the Korea Research Foundation, 1997.
Keywords: and phrases" target="_blank"> and phrases  Web  weak K-loop  K-loop and reflection structure
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