Classifying Spaces of Sporadic Groups

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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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