Rudhreswaran G posted an Question
August 10, 2021 • 19:44 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Can some one explain this with an example ????

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    Vishal saini Best Answer

    see tha Cayley tabel in picture Now 1.Closure axiom: From the cayley's table, it is clear that all the elements in the Cayley table are elements of G. This implies G is closed under multiplication. Hence closure axiom is true. 2.Associative axiom: Multiplication of complex numbers is always associative. Hence associative axiom is true . 3. Identity axiom: Clearly the identity element is 1 and 1 ∈ G 4. Inverse axiom: From the table, Inverse of 1 is 1 Inverse of -1 is -1 Inverse of i is -i Inverse of -i is i since each element of G has unique inverse, Inverse axiom is true. Hence this set form a group under multiplication

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