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Group Theory Notes

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Group Theory Notes01234567Donald L. KreherMarch 18, 2020iiAckowledgementsI thank the following people for their help in note taking and proof reading:Mark Gockenbach, Ryan McNamara, Kaylee Walsh, Tjeerd What is a Group ? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Some properties are unique. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . When are two groups the same? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The automorphism Group of a graph.

Chapter 1 Introduction 1.1 What is a group? De nition 1.1: If Gis a nonempty set, a binary operation on G is a function : G G!G. For example + is a …

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