Finiteness of z-classes in reductive groups

dc.contributor.author	Garge, Shripad M.	en_US
dc.contributor.author	SINGH, ANUPAM KUMAR	en_US
dc.date.accessioned	2020-04-30T06:03:03Z
dc.date.available	2020-04-30T06:03:03Z
dc.date.issued	2020-07	en_US
dc.identifier.citation	Journal of Algebra, 554, 41-53.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4569
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2020.01.010	en_US
dc.description.abstract	Let k be a perfect field such that for every n there are only finitely many field extensions, up to isomorphism, of k of degree n. If G is a reductive algebraic group defined over k, whose characteristic is very good for G, then we prove that G(k) has only finitely many z-classes. For each perfect field k which does not have the above finiteness property we show that there exist groups G over k such that G(k) has infinitely many z-classes.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	z-Classes	en_US
dc.subject	Reductive groups	en_US
dc.subject	Galois cohomology	en_US
dc.subject	TOC-APR-2020	en_US
dc.subject	2020	en_US
dc.subject	2020-APR-WEEK5	en_US
dc.title	Finiteness of z-classes in reductive groups	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US