Automorphism groups of covering posets and of dense posets
نویسندگان
چکیده
منابع مشابه
Automorphism groups of finite posets
For any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X, whose group of automorphisms is isomorphic to G. If the order of the group is n and it has r generators, X has n(r+2) points. This construction improves previous results by G. Birkhoff and M.C. Thornton. The relationship between automorphisms and homotopy types is also analyzed.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1992
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s001309150000537x