Group theory proof form
Assignment:
Let G be a finite group with K is a normal subgroup of G. If (l K l, [G:K]) =1, prove that K is unique subgroup of G having order l K l.
Provide complete and step by step solution for the question and show calculations and use formulas.
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If M is a finite abelian group then M is naturally a Z-module. Can this action be extended to make M into a Q-module?
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