, Volume 1, Issue 1, pp 29–34

Quotients of peck posets

  • Richard P. Stanley

DOI: 10.1007/BF00396271

Cite this article as:
Stanley, R.P. Order (1984) 1: 29. doi:10.1007/BF00396271


An elementary, self-contained proof of a result of Pouzet and Rosenberg and of Harper is given. This result states that the quotient of certain posets (called unitary Peck) by a finite group of automorphisms retains some nice properties, including the Sperner property. Examples of unitary Peck posets are given, and the techniques developed here are used to prove a result of Lovász on the edge-reconstruction conjecture.

AMS (MOS) subject classifications (1980)

Primary 06A10 secondary 05C60 20B25 

Key words

Poset Peck poset Sperner property automorphism group quotient poset edge-reconstruction 

Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • Richard P. Stanley
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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