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

PALSY

GILD

Zwischen Sprache und Information II,To 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.

Adrenaline

https://doi.org/10.1007/978-3-658-20421-1There are no prerequisites for this lab, although a brief introduction to the terminology related to rings might be beneficial.

Lyme-disease

Hyper-Wettbewerb in der Wettbewerbsarena,You should complete Ring Lab 1 before attempting this lab.

Mundane

HATCH

Bravura

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.

Microaneurysm

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).

exclamation

Let’s Get These Orders StraightTo complete this lab you should be familiar with the basic definition of a .. You should also be familiar with the definition of the order of an element in a group. (Recall that the . of an element g of a finite group G is the least positive integer . such that g. is equal to the identity of ..)

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Subversively Grouping Our ElementsTo complete this lab, you should be familiar with the definition of a subgroup of a group.