7. (a) What is the order of (1, (123)) in Z4 × S3 ? (b) Write down all the distinct cosets of the cyclic subgroup H :=< (1, (123)) > in Z4 x S3. Write down a group table for the quotient group (Z4 x S3)/H
7. (a) What is the order of (1, (123)) in Z4 × S3 ? (b) Write down all the distinct cosets of the cyclic subgroup H :=< (1, (123)) > in Z4 x S3. Write down a group table for the quotient group (Z4 x S3)/H
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7

Transcribed Image Text:7. (a)
What is the order of (1, (123)) in Z4 x S3 ?
(b)
Write down all the distinct cosets of the cyclic subgroup H :=< (1, (123)) > in
Z4 x S3. Write down a group table for the quotient group (Z4 x S3)/H
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