Sir i need your help to solve me these questions with explanation in imge form...thanku 1. Prove that isomorphic relation among the groups is an equivalence relation.2. De={e,r,r,r',s,sr,sr?,sr³ | r=s²=e, rs=sr'}, Find all subgroups of G.

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1. Prove that isomorphic relation among the groups is an equivalence relation.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.6: Homomorphisms

Problem 15E: 15. Prove that on a given collection of groups, the relation of being a homomorphic image has the...

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Sir i need your help to solve me these questions with explanation in imge form...thanku

1. Prove that isomorphic relation among the groups is an equivalence relation.
2. De={e,r,r,r',s,sr,sr?,sr³ | r=s²=e, rs=sr'}, Find all subgroups of G.

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