Let H and K be subgroups of a group G and assume |G : H| < +co. Show that|K Kn H G H\
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Let H and K be subgroups of a group G and assume |G : H| < +co. Show that |K Kn H G H\
Let G be a group and let H and k be two subgroup of G.
Ass...
![Since knH k<G and kNH <H <G.
Therefore [G:knH]-[G:HH:kH]
Since, [G H is finite, therefore [G: kNH is also finite](https://prod-qna-question-images.s3.amazonaws.com/qna-images/answer/b2707a03-8914-44d9-b3b0-567da8e5c887/7664b4ff-9c33-467a-9a00-d4319a93230b/tzlcfyd.png)
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Since knH k<G and kNH <H <G. Therefore [G:knH]-[G:HH:kH] Since, [G H is finite, therefore [G: kNH is also finite
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