As a way to keep busy in between semesters I decided to work my way through Algebra by Dummit and Foote in order to prepare for the fall. Working my way through quotient groups is proving to be quite difficult and as a result I'm stuck on an exercise that looks simple, but I just don't know where to start. Any ideas how to prove that given H[tex]\leq[/tex]K[tex]\leq[/tex]G |G|=|G:K||K|?(adsbygoogle = window.adsbygoogle || []).push({});

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# Quotient Groups and their Index

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