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Provethatife : G -+ His a homomorphism and A is a subgroup ofG, thene(A) isa
Chapter 21, Problem 21.9(choose chapter or problem)
QUESTION:
Provethatife : G -+ His a homomorphism and A is a subgroup ofG, thene(A) isa subgroupofH.
Questions & Answers
QUESTION:
Provethatife : G -+ His a homomorphism and A is a subgroup ofG, thene(A) isa subgroupofH.
ANSWER:Step 1 of 4
Let ,where is a group. Then H is called a subgroup of G (denoted as )
If it is a group with ‘*’. Mathematically, iff for ,
A mapping is called a homomorphism from A onto B, if
for all
If is homomorphism then
, the image of , is a subgroup of H (It is called homomorphic image of G)
If is one-to-one, then