Abelian groups z-modules and q-modules
Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.
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Prove that if H is nontrivial normal subgroup of the solvable group G then there is a nontrivial subgroup A of H with A normal subgroup of G and A abelian.
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