A short proof of a theorem of Birkhoff |
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| Authors: | G. Grätzer E.T. Schmidt D. Wang |
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| Affiliation: | (1) Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba R 3T 2N2, Canada. E-mail: gratzer@ccu.umanitoba.ca, CA;(2) Department of Mathematics, Transport Engineering Faculty, Technical University of Budapest, Müegyetem Rkp. 3, H-1521 Budapest, Hungary. E-mail: schmidt@euromath.vma.bme.hu, HU;(3) Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba R 3T 2N2, Canada. E-mail: Dabin_Wang@umanitoba.ca, CA |
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| Abstract: | This paper gives a new proof of a theorem of G. Birkhoff: Every group can be represented as the automorphism group of a distributive lattice D; if is finite, D can be chosen to be finite. The new proof is short, and it is easily visualized. Received November 3, 1995; accepted in final form October 3, 1996. |
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| Keywords: | and phrases. Group poset autormorphism group distributive lattice. |
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