What is [Z12: (4)]? Find all cosets of the subgroup (4) of Z12. A. {(4), 1 + (4)} B. {(4), 1+ (4), 2 + (4)} C. {(4), 1+ (4), 2 + (4), 3+ (4)} D. {(4), 1+ (4), 2 + (4), 3+ (4), 4+ (4)} Let σ= (1 254) (23) € S5. Find the index of (o) in S5. 9 3
What is [Z12: (4)]? Find all cosets of the subgroup (4) of Z12. A. {(4), 1 + (4)} B. {(4), 1+ (4), 2 + (4)} C. {(4), 1+ (4), 2 + (4), 3+ (4)} D. {(4), 1+ (4), 2 + (4), 3+ (4), 4+ (4)} Let σ= (1 254) (23) € S5. Find the index of (o) in S5. 9 3
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 4E: 4. List all the elements of the subgroupin the group under addition, and state its order.
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What is [Z12: (4)]?
Find all cosets of the subgroup (4) of Z12.
A. {(4), 1 + (4)}
B. {(4), 1+ (4), 2 + (4)}
C. {(4), 1+ (4), 2 + (4), 3+ (4)}
D. {(4), 1+ (4), 2 + (4), 3+ (4), 4+ (4)}
Leto = (1 254) (23) E S5. Find the index of (o) in S5.
6
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03720c8a-1ad4-447f-86fd-1dd040d9c9f9%2Fb7c74afa-2011-405e-bdb1-bfae1cb53398%2Fs82gou4_processed.png&w=3840&q=75)
Transcribed Image Text:S
What is [Z12: (4)]?
Find all cosets of the subgroup (4) of Z12.
A. {(4), 1 + (4)}
B. {(4), 1+ (4), 2 + (4)}
C. {(4), 1+ (4), 2 + (4), 3+ (4)}
D. {(4), 1+ (4), 2 + (4), 3+ (4), 4+ (4)}
Leto = (1 254) (23) E S5. Find the index of (o) in S5.
6
2
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