Rabeya Basu ; Kuntal Chakraborty - Results on $\mathrm{K}_1$ of general quadratic groups

cm:9855 - Communications in Mathematics, March 28, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.9855
Results on $\mathrm{K}_1$ of general quadratic groupsArticle

Authors: Rabeya Basu ; Kuntal Chakraborty

    In the first part of this article we discuss the relative cases of Quillen-Suslin's local-global principle for the general quadratic (Bak's unitary) groups, and its applications for the (relative) stable and unstable $\mathrm{K}_1$-groups. The second part is dedicated to the graded version of the local-global principle for the general quadratic groups and its application to deduce a result for Bass' nil groups.

    https://doi.org/10.46298/cm.9855
    Source: arXiv.org:2207.13621
    Volume: Volume 32 (2024), Issue 1
    Published on: March 28, 2023
    Accepted on: February 9, 2023
    Submitted on: July 28, 2022
    Keywords: Mathematics - K-Theory and Homology,1E57, 13A02, 13C10, 15A63, 19B14, 19D35, 20F18
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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