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Web loops and webs with reflections
Authors:Bokhee Im  Hayi-Joo Ko
Affiliation:(1) Department of Mathematics, Chonnam National University, 500-757 Kwangju, Korea
Abstract:We introduce a web loop (P,
$$mathfrak{L}$$
, +) which is precisely a loop (P,+) provided with the structure
$$mathfrak{L}$$
of a web such that both structures are compatible in the sense that for eacha isinP the map a+ratioPrarrP;xmapa+x is an automorphism of (P,
$$mathfrak{L}$$
). Exploiting the results of [6, 7, 9, Z] for the case of a web, we study web loops, webs with reflection structures and webs with point reflection structures.Dedicated to Professor Dr. Dr. h. c. Helmut Karzel on the occasion of his seventieth birthdayThis work was supported by CHONNAM NATIONNAL UNIVERSITY RESEARCH FUND, 1996
Keywords:loop  web  web loop  web fibration  reflection
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