论文标题
$ \ mathrm {k} _1 $ of Penstry Quadratic组的结果
Results on $\mathrm{K}_1$ of general quadratic groups
论文作者
论文摘要
在本文的第一部分中，我们讨论了Quillen-Suslin的一般二次（BAK的单一）群体的本地全球原则的相对案例，以及其应用于（相对）稳定且不稳定的$ \ Mathrm {K k} _1 _1 $ groups的相对案例。第二部分专门针对一般二次群体的本地全球原理的分级版，及其应用于推导低音nil组的结果。
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.
