QUESTION 7Suppose that -G→GİS a group homomorphism. Show that0 0(e) = 0(e)(1) For every gEG, (0))-0)(1) Kero is a normal subgroup of G.Attach FileBrowse Local Files

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Answered: Suppose that 0: G G is a group…

Suppose that 0: G G is a group homomorphism. Show that 0 $(e) = ¢(e') (1) For every gEG, (0(g))-1=0(g1). (1) %3D %3D (iii) Kero is a normal subgroup of .

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 3E: 3. Consider the group under addition. List all the elements of the subgroup, and state its order.

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