1. Consider the group D5. Give five examples of D5 acting on a set, other thanthe trivial action. For each one, explain clearly what the action is, althoughyou do not need to prove that it is a group action.

Given: Consider the group D5. Give five examples of D5 acting on a set, other than the trivial…

Answered: 1. Consider the group D5. Give five…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 16E: In Exercises 15 and 16, the given table defines an operation of multiplication on the set S={...

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1. Consider the group D5. Give five examples of D5 acting on a set, other than the trivial action. For each one, explain clearly what the action is, although you do not need to prove that it is a group action.