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On Maximal Sets of Mutually Orthogonal Idempotent Latin Squares

Published online by Cambridge University Press:  20 November 2018

N. S. Mendelsohn*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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It is a well-known trivial fact that for a given integer n there exists at most n — 2 pairwise orthogonal idempotent latin squares. In the following note we prove that for n a prime power there always exists n—2 such squares.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1971