Cohomology of Sporadic Simple Groups

  • Alejandro Adem
  • R. James Milgram
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 309)


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.


Conjugacy Class Simple Group Spectral Sequence Weyl Group Versus Versus Versus Versus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Alejandro Adem
    • 1
  • R. James Milgram
    • 2
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA
  2. 2.Department of Applied HomotopyStanford UniversityStanfordUSA

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