IIT JAM
Chudamani Satnami Asked a Question
November 9, 2021 9:43 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Let g be a group satisfying the property that 6 f:g is a homomorphism implies f(g) = 0, vg e g. then a possible group g is la (a) za (b) (c) (d) , 2 marks

Let G be a group satisfying the property that 6 f:G is a homomorphism implies f(g) = 0, Vg e G. Then a possible group G is La (a) Za (b) (c) (d) , 2 Marks
  • 1 Answer(s)
Answer Now
  • 0 Likes
  • 2 Comments
  • Shares
  • Chudamani Satnami
    there is only one homomorphism from G to Z221.Therefore,gcd(|G|,221)=1.Hence G=Z21,Z51,Z91,Z119 all are correct
    Likes(0) Reply(0)
  • Navdeep goyal 1 thankyou
    All options are correct because f(g)=0 is a trivial homomorphism and for any two group there exist one trivial homomorphism between them.
    Likes(0) Reply(2)
    Navdeep goyal 1
    what's ur dabut
How Eduncle Helps You ?
StudentTutorInstitutionApp
Help
FAQsPayment TermsRefund PolicyAsk Support
Head Office :
MPA 44, 2nd floor, Rangbari Main Road,
Mahaveer Nagar II, Kota (Raj.) – 324005

Corporate Office:
212, F-1, 2nd Floor, Evershine Tower,
Amrapali Marg,
Vaishali Nagar, Jaipur (Raj.) – 302021

Mail: info@eduncle.com
All Rights Reserved © Eduncle.com