IIT JAM Exam > IIT JAM Questions > Let G be a group satisfying the property that...
Start Learning for Free
Let G be a group satisfying the property that f : 
is a homomorphism implies f(g) = 0, 
Then a possible group G is :
is a homomorphism implies f(g) = 0, Then a possible group G is :- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Let G be a group satisfying the property that f :is a homomorphism imp...
F:g-z221
f(g)=o for all g belongs to G
Now, G=Z21 or Z51 or Z91 or Z119
Number of homomorphism from Zn to Zm
=gcd(n,m)=1
So clearly, 221=13×17 implies gcd(n,221)=1
21=3×7 implies gcd(21,221)=1
51=3×17 implies gcd (51,221)#1
91=7×13 implies gcd (91,221)#1
119=7×17. implies gcd (119,221)#1
Hence , option (a) is the correct answer.
f(g)=o for all g belongs to G
Now, G=Z21 or Z51 or Z91 or Z119
Number of homomorphism from Zn to Zm
=gcd(n,m)=1
So clearly, 221=13×17 implies gcd(n,221)=1
21=3×7 implies gcd(21,221)=1
51=3×17 implies gcd (51,221)#1
91=7×13 implies gcd (91,221)#1
119=7×17. implies gcd (119,221)#1
Hence , option (a) is the correct answer.
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
Question Description
Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let G be a group satisfying the property that f :is a homomorphism implies f(g) = 0, Then a possible group G is :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup