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Discussions: Relating to a Geometric Proof of a Theorem on Collineations

โœ Scribed by James H. Weaver


Book ID
123797106
Publisher
Mathematical Association of America
Year
1918
Tongue
English
Weight
119 KB
Volume
25
Category
Article
ISSN
0002-9890

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A Geometric Proof of the Gap Theorem
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Hollmann, Ko rner, and Litsyn used generalized Steiner systems to prove that it is impossible to partition an n-cube into k Hamming spheres if 2<k<n+2. Furthermore, if k=n+2, they showed the only partition of the n-cube consists of a single sphere of radius n&2 and n+1 spheres of radius 0. We give a