Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3891-0
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… read more here.
Keywords: general quadratic; hermitian groups; general hermitian; local global ... See more keywords
A note on general quadratic groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818502171
Abstract: We deduce an analogue of Quillen–Suslin’s local-global principle for the transvection subgroups of the general quadratic (Bak’s unitary) groups. As an application, we revisit the result of Bak–Petrov–Tang on injective stabilization for the [Formula: see… read more here.
Keywords: quadratic groups; general quadratic; note general;