Overview of our main results | |
Exposition of background material: Review of selected aspects of group cohomology | |
Simplicial sets and their equivalence with topological spaces | |
Bousfield-Kan completions and homotopy colimits | |
Decompositions and ample collections of $p$-subgroups 2-local geometries for simple groups | |
Main results on sporadic groups: Decompositions for the individual sporadic groups | |
Details of proofs for individual groups | |
Bibliography | |
Index | |
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