Abelian group of Order Assignment | Assignment Help Services
September 9th, 2019
By using induction and results from Q5&Q6
Prove the following result:
If G is a finite abelian group |G| = p1k1 · · · psks is the decomposition of |G| into a
product of distinct prime numbers, then G ≃ G1 × · · · × Gs where Gj is an abelian
group of order pjkj.
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If G is a finite abelian group G| = P1ki . . . P’smks is the decomposition of G| into aproduct of distinct prime numbers, then G ~ G1 X . . . XGs where G; is an abeliangroup of order Pikj
