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How Commutative Are Direct Products of Dihedral Groups?

by Cody Clifton (University of Kansas) and David Guichard (Whitman College) and Patrick Keef (Whitman College)

This article originally appeared in:
Mathematics Magazine
April, 2011

Subject classification(s): Algebra and Number Theory | Abstract Algebra | Groups
Applicable Course(s): 4.2 Mod Algebra I & II

Given a positive integer \(m\), the authors exhibit a group with the probability \(1/m\) that two randomly selected elements commute.

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