Finite Groups of Derangements on the n-Cube
نویسنده
چکیده
W. Y. C. Chen and R. P. Stanley have characterized the symmetries of the n-cube that act as derangements on the set of k-faces. In this paper we aim to use their result to characterize those finite subgroups of symmetries whose non-trivial members are derangements of the set of k-faces.
منابع مشابه
Finite Groups of Derangements on the n-Cube II
Given k ∈ N and a finite group G, it is shown that G is isomorphic to a subgroup of the group of symmetries of some n-cube in such a way that G acts freely on the set of k-faces, if and only if, gcd(k, |G|) = 2s for some non-negative integer s. The proof of this result is existential but does give some ideas on what n could be.
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ورودعنوان ژورنال:
- Ars Comb.
دوره 116 شماره
صفحات -
تاریخ انتشار 2014