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## Homework Statement

can someone explain the 1st isomorphism theorem to me(in simple words) i really dont get it

- Thread starter proplaya201
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can someone explain the 1st isomorphism theorem to me(in simple words) i really dont get it

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HallsofIvy

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The kernel, K, of f is a subgroup of G - {x in G such that f(G)= e

The Image, I, of f is a subgroup of H- {y in H such that y= f(x) for some x in G}

1) K is a normal subgroup of G.

2) G/K is isomorphic to I.

Do you understand what "homomorphism" and "isomorphism" mean? Do you understand what a "normal subgroup" is and what "G/K" is?

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can you specify G/K is isomorphic to I.

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