Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 15 (2019), 059, 38 pages      arXiv:1810.00463      https://doi.org/10.3842/SIGMA.2019.059
Contribution to the Special Issue on Moonshine and String Theory

Third Homology of some Sporadic Finite Groups

Theo Johnson-Freyd ^a and David Treumann ^b
a) Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada
^b) Department of Mathematics, Boston College, Boston, Massachusetts, USA

Received September 30, 2018, in final form August 06, 2019; Published online August 10, 2019

Abstract
We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.

Key words: sporadic groups; group cohomology.

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