Need Help with 4 and 5 of my homework ASAP. Its due very soon. Thank You!...

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Question

Need Help with 4 and 5 of my homework ASAP. Its due very soon. Thank You!

(4)(20 points) (a) Show that if H and K are subgroups of an abelian group G, then HK = {hk|he H, k € K} is a subgroup of G. (

math Advanced-Math

Answer 1

Answer #1

Noy o6 given abelian H and K an are subgroup To show Зоор Hка subgnoup of hk | һен, кек) 2. since HEHC G 2 hkEG (closune preo

I use definition of subgroup and normal subgroup to solve this problem

Answer 2

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