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arXiv · 1312.3440

Improved stability for odd-dimensional orthogonal group

Sergey Sinchuk
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Abstract

We compute the kernel of the stabilization map for $K_1$-functors modeled on split Chevalley groups of types $B_l, C_l, E_l$ one step below the stable range. For the groups of type $B_l$ this implies early injective stability for $K_1(B_l, R)$ over a certain class of rings.

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Sergey Sinchuk. 2013-12-12. Improved stability for odd-dimensional orthogonal group. https://doi.org/10.1007/s10958-014-1862-7

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