For the following problems, let G be a group with the following generators and relations: G = (a, b, cla² = b² = c² = abc) . Give the conjugacy classes of G. What does this tell you about the representation theory of G? (Hint: It helps to know the following facts can be derived about this group: The group has eight elements e, a, b, c, a², a³, 63, c³ with a4 = €, ab = c ba = c³, bc = a, cb=a3, cab and ac= := b³.)

For the following problems, let G be a group with the following generators and relations: G = (a, b, cla² = b² = c² = abc) . Give the conjugacy classes of G. What does this tell you about the representation theory of G? (Hint: It helps to know the following facts can be derived about this group: The group has eight elements e, a, b, c, a², a³, 63, c³ with a4 = €, ab = c ba = c³, bc = a, cb=a3, cab and ac= := b³.)

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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