(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that if H is a subgroup of G and K is a subgroup of H, then K is a subgroup of G.

2. Relevant equations

3. The attempt at a solution

Well I know that H is a subgroup of G if H is non empty, has multiplication, and his inverses. So I assume that K is a subgroup of H for those same reasons, but I'm unsure how to show K is a subgroup of G based on those two results. I'm looking for the connection. Please help. Thank you.

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# Abstract Algebra: Subgroup Proof

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