Priya posted an Question
November 22, 2021 • 15:37 pm 5 points
  • IIT JAM
  • Mathematics (MA)

10. let h = ((0), (12)(34)) in a a. show that h is not normal in a b. referring to the multiplication table for a, in table 5.1 on page 111, show that, although

10. Let H = ((0), (12)(34)) in A a. Show that H is not normal in A b. Referring to the multiplication table for A, in Table 5.1 on page 111, show that, although a,H = a,H and a,H = a,,H, it is not true that a,H = a,a,,H. Explain why this proves that the left cosets ofH do not form a group under coset multiplication.

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Anonymous User best-answer

    check attachment

    cropped8694961449516507433.jpg
    eduncle-logo-app

    Explain why this proves that left cosets of H do not form a group under cosets multiplication

    eduncle-logo-app

    G/H exist if H is normal subgroup of G but H is not normal subgroup of A4 so its coset not a subgroup

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