Prove Theorem 10.14. Data from Theorem 10.14 Suppose H and K are subgroups of a group G
Question:
Prove Theorem 10.14.
Data from Theorem 10.14
Suppose H and K are subgroups of a group G such that K ≤ H ≤ G, and suppose (H : K) and (G : H) are both finite. Then (G : K) is finite, and (G : K) = (G : H)(H : K).
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