View Single Post
Old 2019-10-29, 14:50   #6
Dr Sardonicus
 
Dr Sardonicus's Avatar
 
Feb 2017
Nowhere

10F916 Posts
Default

Yes, there are cyclic groups of all positive integer orders. The cyclic groups of prime order are the only (nontrivial) simple cyclic groups. Which reminds me...

"Simple Groups", to the tune of "Sweet Betsy from Pike"; words by Saunders Mac Lane

Be it noted, the classification of finite simple groups was achieved in 1981.
Dr Sardonicus is offline   Reply With Quote