tag:blogger.com,1999:blog-11295132.post114322655688546942..comments2016-08-19T06:50:55.770-07:00Comments on A Neighborhood of Infinity: 6Dan Piponihttps://plus.google.com/107913314994758123748noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-11295132.post-1156622950722080812006-08-26T13:09:00.000-07:002006-08-26T13:09:00.000-07:00Israel Gelfand loves to say that sporadic finite s...Israel Gelfand loves to say that sporadic finite simple groups are not groups: in reality, they belong to infinite families of (still unknown) objects, some of them happened to be groups, more by incident htan design. <BR/><BR/>I can add that it is wrong to think that there are 26 sporadic finite simple groups, their number is actually bigger. But some sporadic groups happened to be isomorphic to groups in "classical" families and are not counted as sporadic. <BR/>Alt(6) is a nice example of unrecognised sporadic simple groups. (among other examples one can mention PSL(3,4)).Alexandre Borovikhttp://www.blogger.com/profile/11437354321695384127noreply@blogger.com