The automorphism group of the universa distributive lattice |
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Authors: | Manfred Droste Dugald Macpherson |
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Affiliation: | 1.Institut für Algebra, Technische Universit?t Dresden, D-01062 Dresden, Germany, e-mail: droste@math.tu-dresden.de,DE;2.Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England, e-mail: h.d.macpherson@leeds.ac.uk,GB |
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Abstract: | We describe the normal subgroup lattice of the automorphism groups of the countable universal homogeneous distributive lattice and of the countable atomless generalized Boolean lattice. Also, we show that subgroups of these automorphism groups of index less than lie between the pointwise and the setwise stabilizer of a finite set. Received March 8, 1999; accepted in final form September 16, 1999. |
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