proof that is cyclic if and only if
A finite abelian group is cyclic if and only if .
Proof. is cyclic if and only if it has an element of order . But is the maximum order of any element of . Thus is cyclic only if these two are equal.
|Title||proof that is cyclic if and only if|
|Date of creation||2013-03-22 16:34:14|
|Last modified on||2013-03-22 16:34:14|
|Last modified by||rm50 (10146)|