11.7 Let HG and K◄ G, and assume that HNK={e}. Show that if x € Hand y EK then xy =yx.

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11.7 Let HG and K◄ G, and assume that HNK={e}. Show that if x H and y EK
then xy = yx.
Transcribed Image Text:11.7 Let HG and K◄ G, and assume that HNK={e}. Show that if x H and y EK then xy = yx.
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What does H Triangle G mean?

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I don't understand how y*x^-1*y^-1 element of H becomes x*y*x^-1*y^-1. Please explain. Thank you 

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