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 .

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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QUESTION 7
Suppose that -G→GİS a group homomorphism. Show that
0 0(e) = 0(e)
(1) For every gEG, (0))
-0)
(1) Kero is a normal subgroup of G.
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Transcribed Image Text:QUESTION 7 Suppose that -G→GİS a group homomorphism. Show that 0 0(e) = 0(e) (1) For every gEG, (0)) -0) (1) Kero is a normal subgroup of G. Attach File Browse Local Files
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