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Connections between loops of exponent 2, reflection structures and complete graphs with parallelism - MaRDI portal

Connections between loops of exponent 2, reflection structures and complete graphs with parallelism (Q1578473)

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scientific article; zbMATH DE number 1498589
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Connections between loops of exponent 2, reflection structures and complete graphs with parallelism
scientific article; zbMATH DE number 1498589

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    Connections between loops of exponent 2, reflection structures and complete graphs with parallelism (English)
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    31 August 2000
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    In the present paper the author considers the particular situation where \((L,+)\) is a loop of exponent 2 and it will be related to both a reflection structure and to a complete graph with parallelism \((L,{L\choose 2},|\;|)\). The connections between these structures, under further conditions as well, are studied in this paper via Theorems 1 and 2.
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    loops of exponent 2
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    reflection structures
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    complete graphs
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