For the following problems, let G be a group with the following generators and relations: G = (a, b, cla² = b² = c² = abc) 7. H' is just the cyclic group C2, and it thus has one nontrivial representation, call it X. Compute X. (This time, explicitly compute the matrices using the definition of induction.)

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 44E: Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union....
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For the following problems, let G be a group with the following generators and relations:
G = (a, b, cla² = b² = c² = abc)
Transcribed Image Text:For the following problems, let G be a group with the following generators and relations: G = (a, b, cla² = b² = c² = abc)
7. H' is just the cyclic group C2, and it thus has one nontrivial representation, call it X.
Compute X. (This time, explicitly compute the matrices using the definition of
induction.)
Transcribed Image Text:7. H' is just the cyclic group C2, and it thus has one nontrivial representation, call it X. Compute X. (This time, explicitly compute the matrices using the definition of induction.)
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