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

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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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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.

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AutomorphismsTo complete this lab, you should have completed Group Lab 8.

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Direct ProductsTo complete the last section of this lab, you should have completed the lab on isomorphisms (Group Lab 8).

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Rotational Groups of Regular PolyhedraTo complete this lab, you should know how a group can be generated from a set of elements and a binary operation. You should also be familiar with Euler angles (see the Rotations Lab on the CD for a review) and group actions.

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Introduction to Rings and RingoidsThere are no prerequisites for this lab, although a brief introduction to the terminology related to rings might be beneficial.

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