2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D
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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![2. Let \( G = \mathbb{Z}_6 \times \mathbb{Z}_4 \), and find \([G:H]\) for:
a) \( H = \{0\} \times \mathbb{Z}_4 \).
b) \( H = \langle 2 \rangle \times \langle 2 \rangle \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6915687c-4f06-4661-ac02-aefc88931b4a%2F99ecdafe-b8fe-4c83-852c-b57a5afc00d1%2Fzy9sfw_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let \( G = \mathbb{Z}_6 \times \mathbb{Z}_4 \), and find \([G:H]\) for:
a) \( H = \{0\} \times \mathbb{Z}_4 \).
b) \( H = \langle 2 \rangle \times \langle 2 \rangle \).
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