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Finite presentability of Steinberg groups over group rings

✍ Scribed by Li Fuan

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1989
Tongue
English
Weight
222 KB
Volume
5
Category
Article
ISSN
1439-7617

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We study groups of matrices SGL ‫⌫ޚ‬ of augmentation one over the integral n Ž . group ring ‫⌫ޚ‬ of a nilpotent group ⌫. We relate the torsion of SGL ‫⌫ޚ‬ to the n Ž . torsion of ⌫. We prove that all abelian p-subgroups of SGL ‫⌫ޚ‬ can be stably n Ž . diagonalized. Also, all finite subgroups of SGL

Another presentation for steinberg group
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## Introduction Let R be a commutative ring with identity, n> 3. Suslin has shown that the elementary subgroup E(n, R) is normal in the general linear group GL(n, R). In other words, E(n, R) is invariant under change of co-ordinates. Here we will establish the analogue for the Steinberg group St(n