- #1
ehrenfest
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[SOLVED] group theory
Let [itex]\phi:G \to G'[/itex] be a group homomorphism. Show that if |G| is finite, then [itex]|\phi(G)|[/itex] is finite and is a divisor of |G|.
Should the last word be |G'|? Then it would follow from Lagrange's Theorem.
Homework Statement
Let [itex]\phi:G \to G'[/itex] be a group homomorphism. Show that if |G| is finite, then [itex]|\phi(G)|[/itex] is finite and is a divisor of |G|.
Homework Equations
The Attempt at a Solution
Should the last word be |G'|? Then it would follow from Lagrange's Theorem.