Email this article Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1
- Authors: Basu R.1
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Affiliations:
- Indian Institute of Science Education and Research
- Issue: Vol 232, No 5 (2018)
- Pages: 591-609
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241373
- DOI: https://doi.org/10.1007/s10958-018-3891-0
- ID: 241373
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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.
About the authors
R. Basu
Indian Institute of Science Education and Research
Author for correspondence.
Email: rabeya.basu@gmail.com
India, Pune
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