Quotients of Peck posets (Q1057888)
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scientific article; zbMATH DE number 3898947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quotients of Peck posets |
scientific article; zbMATH DE number 3898947 |
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Quotients of Peck posets (English)
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1984
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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 are used to prove a result of Lovász on the edge-reconstruction conjecture.
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finite group of automorphisms
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Sperner property
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unitary Peck posets
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edge-reconstruction conjecture
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