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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2015 Volume 20, Issue 2, Pages 250–262 (Mi adm542)

RESEARCH ARTICLE

A group-theoretic approach to covering systems

Lenny Jones, Daniel White

Department of Mathematics, Shippensburg University

Abstract: In this article, we show how group actions can be used to examine the set of all covering systems of the integers with a fixed set of distinct moduli.

Keywords: covering system, group action, congruence.

MSC: Primary 11B25; Secondary 05E18, 11A07

Received: 27.06.2014
Revised: 24.01.2015

Language: English



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