Let(G,*) and (H,#) be a groups if f: G H and g: H G are homomorphism such that gof = IG.f og = IH then f is isomorphism ->

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 31E: 31. a. Prove Theorem : The center of a group is an abelian subgroup of. b. Prove Theorem :...
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Proposition: H.W
Let(G,*) and (H,#) be a groups if f: G→ H and g: H→G are
homomorphism such that gof = Ig,f °g = I then f is
isomorphism
%3D
Transcribed Image Text:Proposition: H.W Let(G,*) and (H,#) be a groups if f: G→ H and g: H→G are homomorphism such that gof = Ig,f °g = I then f is isomorphism %3D
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