Need this answer. Thank you a+bbe the operation on Z defined by a*b =for all a,beZ. Justify the following questions.4Let(1) Is (Z,*) a group?(ii) Is (Z,*)an abelian group?2.

Here * be the operation on ℤ defined by a*b=a+b4 for all a, b∈ℤ. We have to justify the followings:…

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 12E: Prove or disprove that H={ hGh1=h } is a subgroup of the group G if G is abelian.

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be the operation on Z defined by a*b = a+b for all a,beZ. Justify the following questions. 4 Let (1) Is (Z,*) a group? (ii) Is (Z,*) an abelian group?

be the operation on Z defined by ab = a+b for all a,beZ. Justify the following questions. 4 Let (1) Is (Z,) a group? (ii) Is (Z,*) an abelian group?