Priya Asked a Question
November 22, 2021 10:07 ampts 5 pts
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)
  • 0 Likes
  • 1 Comments
  • Shares
  • Navdeep goyal 1 thankyou
    check attachment
    • cropped8694961449516507433.jpg
    Likes(0) Reply(2)
    Priya
    Explain why this proves that left cosets of H do not form a group under cosets multiplication
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