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 ∈P the map a+∶P→P;x↦a+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.
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Dedicated to Professor Dr. Dr. h. c. Helmut Karzel on the occasion of his seventieth birthday
This work was supported by CHONNAM NATIONNAL UNIVERSITY RESEARCH FUND, 1996
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Im, B., Ko, HJ. Web loops and webs with reflections. J Geom 61, 62–73 (1998). https://doi.org/10.1007/BF01237496
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DOI: https://doi.org/10.1007/BF01237496