Group has Latin Square Property/Corollary/Proof 1
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Corollary to Group has Latin Square Property
The Cayley table for any finite group is a Latin square.
Proof
Follows directly from the definition of both a Cayley table and a Latin square.
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $3$: Elementary consequences of the definitions: Proposition $3.3$: Remark $2$