Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1

dc.contributor.author	BASU, RABEYA	en_US
dc.date.accessioned	2019-04-29T10:20:30Z
dc.date.available	2019-04-29T10:20:30Z
dc.date.issued	2018-08	en_US
dc.identifier.citation	Journal of Mathematical Sciences, 232(5), 591-609.	en_US
dc.identifier.issn	1072-3374	en_US
dc.identifier.issn	1072-3374	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2861
dc.identifier.uri	https://doi.org/10.1007/s10958-018-3891-0	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Local-Global Principle	en_US
dc.subject	General Quadratic	en_US
dc.subject	Nilpotency of KH1	en_US
dc.subject	Quillen Suslins local-global principle	en_US
dc.subject	K1-groups	en_US
dc.subject	Hermitian groups	en_US
dc.subject	2018	en_US
dc.title	Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Mathematical Sciences	en_US
dc.publication.originofpublisher	Foreign	en_US