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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2861| Title: | Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1 |
| Authors: | BASU, RABEYA Dept. of Mathematics |
| Keywords: | Local-Global Principle General Quadratic Nilpotency of KH1 Quillen Suslins local-global principle K1-groups Hermitian groups 2018 |
| Issue Date: | Aug-2018 |
| Publisher: | Springer Nature |
| Citation: | Journal of Mathematical Sciences, 232(5), 591-609. |
| Abstract: | In this article, an analog of the Quillen–Suslin’s local-global principle was established for the elementary subgroup of the general quadratic group and the general Hermitian group. It is shown that unstable K1-groups of the general Hermitian groups over module finite rings are nilpotent-by-Abelian. This generalizes earlier results by A. Bak, R. Hazrat, and N. Vavilov. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2861 https://doi.org/10.1007/s10958-018-3891-0 |
| ISSN: | 1072-3374 1072-3374 |
| Appears in Collections: | JOURNAL ARTICLES |
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