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

10F916 Posts

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