Titlebook: Exploring Abstract Algebra With Mathematica?; Allen C. Hibbard,Kenneth M. Levasseur Textbook 1999 Springer Science+Business Media New York

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Marx’ Method, Epistemology, and HumanismBefore attempting this lab, you should have completed Ring Lab 1. You shouldalso be familiar with cosets of normal subgroups.

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Pantry

Determining the Symmetry Group of a Given FigureThough not absolutely necessary, it would be useful if you completed Group Lab 1 before attempting this lab.

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Is This a Group?To complete this lab, you should have already seen the definition of a group and become familiar with the basic group properties: being closed, having an identity, inverses, and associativity (and commutativity).

Matrimony

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Cycling Through the GroupsOther than familiarity with the basic definitions related to a group, there are no prerequisites.

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PermutationsTo complete this lab, you should have a good understanding of functions, including “right to left” composition. You do not need to complete any previous labs to attempt this one.

Congestion

IsomorphismsTo complete this lab, you should be familiar enough with the basic properties of groups to be able to compare the various pairs of groups that you will be asked to examine. No previous labs are necessary.

Culmination