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betty2301
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urgent another group theory problem sorry
Let G be a group with normal subgroup N. Prove that G/N is an abelian group of and only of N contains elements [itex]aba^{-1}b^{-1}[/itex] for all a,b in G.
commutator
G/N i know it is the factor group...but abelian factor group is really new to me.
my knowdge in commutator is weak as my professor did not teach this.
help!1
Homework Statement
Let G be a group with normal subgroup N. Prove that G/N is an abelian group of and only of N contains elements [itex]aba^{-1}b^{-1}[/itex] for all a,b in G.
Homework Equations
commutator
The Attempt at a Solution
G/N i know it is the factor group...but abelian factor group is really new to me.
my knowdge in commutator is weak as my professor did not teach this.
help!1