profile-img
Deepak Patra posted an Question
December 29, 2021 • 20:23 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Find the number of homomorphism from group a3 to s3 ????

find the number of homomorphism from group A3 to S3 ???? and from group z2 x z2 to z4

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • comment-profile-img
    Navdeep goyal 1 Best Answer

    if G and G' are abelian group then number of homomorphism from G to G' is = GCD(m,n) where m is order of G and order of G' z2xz2 and Z4 are abelian group of order 4 so number of homomorphism from group z2 x z2 to z4 =GCD(4,4)=4

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers