On a result of Birkhoff (Q1893264)
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scientific article; zbMATH DE number 769573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a result of Birkhoff |
scientific article; zbMATH DE number 769573 |
Statements
On a result of Birkhoff (English)
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3 July 1995
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The result mentioned in the title is 50 years old and states that every group \(G\) can be represented as the automorphism group of a distributive lattice \(D\). If \(G\) is finite, then \(D\) can be chosen as a finite distributive lattice. The authors give a new construction of such a distributive lattice and discuss the relationships between this construction, Priestley duality and earlier results.
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representation of groups
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automorphism group of a distributive lattice
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Priestley duality
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