Third Homology of some Sporadic Finite Groups
Theo Johnson-Freyd, David Treumann

TL;DR
This paper calculates the integral third homology groups for most sporadic finite simple groups and their central extensions, providing new algebraic topological insights into these complex structures.
Contribution
It presents the first comprehensive computation of the third homology for a wide class of sporadic groups and their central extensions.
Findings
Computed third homology for most sporadic groups
Determined homology for their central extensions
Enhanced understanding of algebraic topology of sporadic groups
Abstract
We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.
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