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A MINIMAL CONGRUENCE LATTICE REPRESENTATION FOR $\mathbb{M}_{p+1}$

Published online by Cambridge University Press:  24 March 2020

ROGER BUNN
Affiliation:
Missouri State University, 901 South National Avenue, Springfield, MO65897, USA email RogerBunn@missouristate.edu
DAVID GROW
Affiliation:
Missouri University of Science and Technology, 202 Rolla Building, Rolla, MO65409-0020, USA email grow@mst.edu
MATT INSALL*
Affiliation:
Missouri University of Science and Technology, Mathematics & Statistics, 400 W 12th Street, Room 315 Rolla Building, Rolla, MO65409, USA email insall@mst.edu
PHILIP THIEM
Affiliation:
Missouri University of Science and Technology, 202 Rolla Building, Rolla, MO65409-0020, USA email ptt@mst.edu

Abstract

Let $p$ be an odd prime. The unary algebra consisting of the dihedral group of order $2p$, acting on itself by left translation, is a minimal congruence lattice representation of $\mathbb{M}_{p+1}$.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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