The mod 2 cohomology of the linear groups over the ring of integers

Arlettaz, Dominique; Mimura, Mamoru; Nakahata, Koji; Yagita, Nobuaki

doi:10.1090/S0002-9939-99-05183-7

The mod 2 cohomology of the linear groups over the ring of integers
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by Dominique Arlettaz, Mamoru Mimura, Koji Nakahata and Nobuaki Yagita PDF

Proc. Amer. Math. Soc. 127 (1999), 2199-2212 Request permission

Abstract:

This paper completely determines the Hopf algebra structure of the mod 2 cohomology of the linear groups $GL(\mathbb {Z})$, $SL(\mathbb {Z})$ and $St(\mathbb {Z})$ as a module over the Steenrod algebra, and provides an explicit description of the generators.

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