- #1
ehrenfest
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[SOLVED] group theory question
A student is asked to show that if H is a normal subgroup of an abelian group G, then G/H is abelian. THe student's proof starts as follows:
"We must show that G/H is abelian. Let a and b be two elements of G/H."
Why does the instructor reading this proof expect to find nonsense from here on in the student's paper?
That's probably how I would start my proof...I don't see anything wrong with it.
Homework Statement
A student is asked to show that if H is a normal subgroup of an abelian group G, then G/H is abelian. THe student's proof starts as follows:
"We must show that G/H is abelian. Let a and b be two elements of G/H."
Why does the instructor reading this proof expect to find nonsense from here on in the student's paper?
Homework Equations
The Attempt at a Solution
That's probably how I would start my proof...I don't see anything wrong with it.