Journal of Geometry

, Volume 61, Issue 1–2, pp 62–73 | Cite as

Web loops and webs with reflections

  • Bokhee Im
  • Hayi-Joo Ko
Article
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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.

Key words and phrases

loop web web loop web fibration reflection 

1991 Mathematics Subject Classification

20N05 51A25 51F15 
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Copyright information

© Birkhäuser Verlag 1998

Authors and Affiliations

  • Bokhee Im
    • 1
  • Hayi-Joo Ko
    • 1
  1. 1.Department of MathematicsChonnam National UniversityKwangjuKorea

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