The automorphism group of the universa distributive lattice

被引:0
作者
Manfred Droste
Dugald Macpherson
机构
[1] Institut für Algebra,
[2] Technische Universität Dresden,undefined
[3] D-01062 Dresden,undefined
[4] Germany,undefined
[5] e-mail: droste@math.tu-dresden.de,undefined
[6] Department of Pure Mathematics,undefined
[7] University of Leeds,undefined
[8] Leeds LS2 9JT,undefined
[9] England,undefined
[10] e-mail: h.d.macpherson@leeds.ac.uk,undefined
来源
algebra universalis | 2000年 / 43卷
关键词
Normal Subgroup; Automorphism Group; Distributive Lattice; Subgroup Lattice; Boolean Lattice;
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摘要
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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $ 2^{\aleph_0} $\end{document} lie between the pointwise and the setwise stabilizer of a finite set.
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页码:295 / 306
页数:11
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