Mathematical Adventures
Posted 04-24-2008 at 10:06 PM by Nootropic
While procrastinating doing my linear algebra, I figured I'd make a post, about what, I do not know. But definitely math-related.
Thought I'd post a challenge to see if anyone could prove this:
If G is a group such that G/Z(G) is cyclic, then G is abelian.
ENJOY!
Note: Z(G) is called the center of G and is defined as {z is a member of G : gz = zg for all g in G}
Thought I'd post a challenge to see if anyone could prove this:
If G is a group such that G/Z(G) is cyclic, then G is abelian.
ENJOY!
Note: Z(G) is called the center of G and is defined as {z is a member of G : gz = zg for all g in G}
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