1.If m divides the order of a finite

Albelian group A,then prove that A has a subgroup of order m.

2.Show that the total number of Albelian groups of order p^n(p prime) is the total number of partitions of n in to positive integers.

Printable View

- Mar 20th 2010, 10:36 PMmath.dj2 questions in group theory
1.If m divides the order of a finite

Albelian group A,then prove that A has a subgroup of order m.

2.Show that the total number of Albelian groups of order p^n(p prime) is the total number of partitions of n in to positive integers. - Mar 20th 2010, 11:03 PMBruno J.
Use the fundamental theorem of finitely generated abelian groups!

- Mar 20th 2010, 11:29 PMmath.dj
can u plz elaborate the thing.. :)