sporadic finite simple group



According to the classification of finite simple groups, there are 18 countably infinite families and 26 sporadic simple groups. The latter groups do not fit into any systematic classification, but there are a number of links between them. For example, the Monster group MM, the largest of the sporadic groups, contains all but six (the ‘pariahs’, J 1,J 3,Ru,ON,Ly,J 4J_1, J_3,Ru,ON,Ly,J_4) of the other sporadic groups as subquotients.



  • Robert A. Wilson’s The Finite Simple Groups. Springer, Graduate Mathematics series 251 (2009).

Last revised on September 23, 2017 at 08:14:15. See the history of this page for a list of all contributions to it.