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Deepak patra Asked a Question
January 6, 2022 5:48 pmpts 30 pts
please explain the marked part ..where did h' came from????????¿??EXAMPLE 5 Let H be a normal subgroup of a group G and K be any subgroup of G. Then HK = {hk I h E H, kE K} is a subgroup of G. To verify this, note that e = ee is in HK. Then for any a = h,k, and b = h,k, where h, h, are in H and k,, k, are in K, there is an element h' in H such that abrl = h,k,A ,-' = h,6,k-h,"l = h,h0k,k,-) So, ab is in HK.
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  • Navdeep goyal 1 Best Answer
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