Is S3 = Z6? Justify your answer.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 5E
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! - ts] Is S3 = Z6? Justify your answer.
s] Let G and H be groups, and T: G→H be isomorphism. For aeG, show that
T(a-l) = [T(a)]-!.
2-4 in s] In S6, let o = (2356)(145). Find the order of o.
Transcribed Image Text:! - ts] Is S3 = Z6? Justify your answer. s] Let G and H be groups, and T: G→H be isomorphism. For aeG, show that T(a-l) = [T(a)]-!. 2-4 in s] In S6, let o = (2356)(145). Find the order of o.
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