Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-12-02T21:44:01.743Z Has data issue: false hasContentIssue false

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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