Title

A Typology for Finite Groups

Publication Date

2013

Document Type

Article

Abstract

Summary This project classifies groups of small order using a group’s center as the key feature. Groups of a given order n are typed based on the order of each group’s center. Students are led through a sequence of exercises that combine proof-writing, independent research, and an analysis of specific classes of finite groups (including the dihedral, symmetric, and alternating groups) to produce a list of groups of each possible type. The project can serve as a capstone experience that unifies group theory with expository mathematical writing.

Publication Title

The College Mathematics Journal

Volume

44

Issue

5

First Page

432

Last Page

436

DOI

10.4169/college.math.j.44.5.432

Version

post-print

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