Anonymous posted an Question
November 12, 2021 • 17:50 pm 30 points
  • IIT JAM
  • Mathematics (MA)

21. let p and q be distinct primes and let g and h be two groups such that o(g)=p and o(h) = q. the number of distinct homomorphims from gto h is/are (a) 1 (b)

21. Let p and q be distinct primes and let G and H be two groups such that o(G)=p and o(H) = q. The number of distinct homomorphims from Gto H is/are (A) 1 (B) p-1 (C) (D) p

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  • Malik

    option A is correct (since order of two groups is prime so cyclic and we know no. of homo from Zn to Zm is gcd(n, m) ( gcd b/w prime is always 1 so option A is correct)

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