(i) Find all the conjugacy classes of D4. Give the details of your work.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.3: Permutation Groups In Science And Art (optional)
Problem 28E: Let G be the group of rigid motions of a regular tetrahedron (see Figure 4.8). Find the order G.
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Question 1: Consider a dihedral group D4 = (a, b: a* = b² = (ab)² = 1).
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(i)
Find all the conjugacy classes of D4. Give the details of your work.
Transcribed Image Text:Question 1: Consider a dihedral group D4 = (a, b: a* = b² = (ab)² = 1). %3D %3D (i) Find all the conjugacy classes of D4. Give the details of your work.
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