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Multiples of left loops and vertex-transitive graphs

✍ Scribed by Eric Mwambene

Book ID: 111487829
Publisher: SP Versita
Year: 2005
Tongue: English
Weight: 181 KB
Volume: 3
Category: Article
ISSN: 1895-1074
DOI: 10.2478/bf02479200

No coin nor oath required. For personal study only.

✦ Synopsis

Via representation of vertex-transitive graphs on groupoids, we show that left loops with units are factors of groups, i.e., left loops are transversals of left cosets on which it is possible to define a binary operation which allows left cancellation.

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