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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 12E

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Show that if H and K are subgroups of an abelian group G then {hk: h element of H and k element of K Is a subgroup of G

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Prove or disprove that H={ hGh1=h } is a subgroup of the group G if G is abelian.
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