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Homogeneous covering congruences and subgroup covers

โœ Scribed by Boping Jin; Gerry Myerson

Book ID
104024395
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
317 KB
Volume
110
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

A subgroup cover of the integer lattice in two or more dimensions is a presentation of that lattice as a finite union of proper subgroups, no two of the same index. In an earlier paper, Cochrane and Myerson constructed subgroup covers in two dimensions and asked several questions about other methods of construction and about higher dimensions. We answer those questions.

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