Normality and terminality in the elementary subgroups of Steinberg groups over rings

Hurley, James F.

doi:10.1090/S0002-9939-1972-0299692-2

Normality and terminality in the elementary subgroups of Steinberg groups over rings
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by James F. Hurley PDF

Proc. Amer. Math. Soc. 34 (1972), 30-34 Request permission

Abstract:

The elementary subgroups of Steinberg groups over commutative rings with identity are constructed internally in the manner used by Chevalley and Steinberg over fields. A uniform method is given for the construction of normal subgroups of these elementary groups. Terminality results obtained by Spitznagel over fields are shown to follow in the same way over rings in which 2 can be inverted.

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Lectures on Chevalley groups