proof that every group of prime order is cyclic
The following is a proof that every group of prime order is cyclic.
Let be a prime and be a group such that . Then contains more than one element. Let such that . Then contains more than one element. Since , by Lagrange’s theorem, divides . Since and divides a prime, . Hence, . It follows that is cyclic.
|Title||proof that every group of prime order is cyclic|
|Date of creation||2013-03-22 13:30:55|
|Last modified on||2013-03-22 13:30:55|
|Last modified by||Wkbj79 (1863)|