Cohomology of Sporadic Simple Groups

Abstract

In this chapter we will describe recent progress towards understanding the cohomology of the sporadic simple groups. Briefly we recall that from the classification of finite simple groups, [Gor], it was shown that there exist 2Ì3 simple groups not belonging to infinite families (i.e. not of alternating or Lie type) and we study six of these groups here: four of the five Mathieu groups, the first Janko group, J1, and the O’Nan group O’N.KeywordsConjugacy ClassSimple GroupSpectral SequenceWeyl GroupVersus Versus Versus VersusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.