The mod 2 Chow ring of BSyl2(GL(4,2)) is explicitly presented, generated by Chern classes of three 2-dimensional and one 4-dimensional representation, via a computer-assisted restriction argument.
Chow Filtration on Representation Rings of Algebraic Groups
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The Chow Ring of the 2-Sylow Subgroup of $\mathrm{GL}(4,2)$
The mod 2 Chow ring of BSyl2(GL(4,2)) is explicitly presented, generated by Chern classes of three 2-dimensional and one 4-dimensional representation, via a computer-assisted restriction argument.