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Semidirect Products: \(x \mapsto ax + b\) as a First Example

by Shreeram S. Abhyankar (Purdue University) and Chris Christensen (Northern Kentucky University)

This article originally appeared in:
Mathematics Magazine
October, 2002

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

This article gives concrete examples of both the internal and external semi-direct product of groups.

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