On Homogeneous Semilattices and Their Automorphism Groups

被引：0
作者：
Manfred Droste
Dietrich Kuske
John K. Truss
机构：
[1] Technische Universität Dresden,Institut für Algebra
[2] University of Leeds,Department of Pure Mathematics
来源：
Order | 1999年 / 16卷
关键词：
automorphism group; homogeneous structure; normal subgroup; partial order; semilattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that there are just countably many countable homogeneous semilattices and give an explicit description of them. For the countable universal homogeneous semilattice we show that its automorphism group has a largest proper nontrivial normal subgroup.
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页码：31 / 56
页数：25
相关论文
共 22 条
  • [11] Glass A. M. W.(1959)On categoricity in power ≤ ℵ Bull. Polish Acad. Sci. Ser. Math. Astronom. Phys. 7 545-548
  • [12] McCleary S. H.(1979)Countable homogeneous partially ordered sets Algebra Universalis 9 317-321
  • [13] Rubin M.(1985)The group of the countable universal graph Math. Proc. Cambridge Philos. Soc. 98 213-245
  • [14] Higman G.(undefined)undefined undefined undefined undefined-undefined
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