Homogeneous covering congruences and subgroup covers

Boping Jin; Gerry Myerson

doi:10.1016/j.jnt.2003.11.012

Homogeneous covering congruences and subgroup covers

Boping Jin, Gerry Myerson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	120-135
Number of pages	16
Journal	Journal of Number Theory
Volume	110
Issue number	1
DOIs	https://doi.org/10.1016/j.jnt.2003.11.012
Publication status	Published - Jan 2005

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Homogeneous covering congruences and subgroup covers

Abstract

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