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Part BCSIR NET June 2024hom-count-is-the-gcd

Hom count is the gcd

The number of group homomorphisms from to is

  1. A.30✓
  2. B.60
  3. C.45
  4. D.10

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

Related counterexample: If d divides |G| then G has a subgroup of order d

More on this topic

The chapter behind this: Lagrange, orders and cyclic groups — free to read

From Groups › Subgroups, cosets, Lagrange, cyclic groups

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