کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423634 1632577 2016 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Convex Polytope and an Antimatroid for any Given, Finite Group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
A Convex Polytope and an Antimatroid for any Given, Finite Group
چکیده انگلیسی

For any given finite group G, we construct a convex polytope and an antimatroid whose automorphism groups are both isomorphic to G. The convex polytope is combinatorial in the sense of Naddef and Pulleyblank (1981), in particular it is binary; the diameter of its skeleton is at most 2; any automorphism of the polytope skeleton is the restriction of some isometry. The antimatroid is the antimatroid induced on a set of points in some euclidean space; any of its automorphisms is induced by some isometry.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 54, October 2016, Pages 21-25
نویسندگان
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