9 citations · 9 across the 2 of their papers we have counts for
4 papers
The icosahedra of edge length 1
Karl-Heinz Brakhage, Alice C. Niemeyer, Wilhelm Plesken +2
Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular (planar) triangles, the 30 edges of length 1, and the 12 different vertices toge…
Fast recognition of alternating groups of unknown degree
Sebastian Jambor, Martin Leuner, Alice C. Niemeyer +1
We present a constructive recognition algorithm to decide whether a given black-box group is isomorphic to an alternating or a symmetric group without prior knowledge of the degree…
Computing generators of the unit group of an integral abelian group ring
Paolo Faccin, Willem A. de Graaf, Wilhelm Plesken
We describe an algorithm for obtaining generators of the unit group of the integral group ring ZG of a finite abelian group G. We used our implementation in Magma of this algorithm…
From Linear Codes to Hyperplane Arrangements via Thomas Decomposition
Wilhelm Plesken, Thomas Bächler
We establish a connection between linear codes and hyperplane arrangements using the Thomas decomposition of polynomial systems and the resulting counting polynomial. This yields b…