$\mathrm{H}^4(\mathrm{Co}_0;\mathbf{Z}) = \mathbf{Z}/24$
Group Theory
2019-11-05 v3
Abstract
We show that the fourth integral cohomology of Conway's group is a cyclic group of order , generated by the first fractional Pontryagin class of the -dimensional representation.
Cite
@article{arxiv.1707.07587,
title = {$\mathrm{H}^4(\mathrm{Co}_0;\mathbf{Z}) = \mathbf{Z}/24$},
author = {Theo Johnson-Freyd and David Treumann},
journal= {arXiv preprint arXiv:1707.07587},
year = {2019}
}
Comments
24 pages, 1 large table, Int. Math. Res. Not. IMRN 2018