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WEAK UNIQUELY COMPLETABLE SETS FOR FINITE GROUPS

Published online by Cambridge University Press:  01 March 2000

DAVID BEDFORD  and
MATTHEW JOHNSON
DAVID BEDFORD
Affiliation:
Department of Mathematics, Keele University, Staffordshire ST5 5BG
MATTHEW JOHNSON
Affiliation:
Department of Mathematics, Keele University, Staffordshire ST5 5BG
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Abstract

Keedwell has shown that none of the groups of order less than 5 has a weak uniquely completable set. We prove that a weak uniquely completable set exists in a latin square based on a finite group if and only if the group is of order greater than 5.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 155 - 162
Copyright
© The London Mathematical Society 2000

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