On the splitting fields of generic elements in Zariski dense subgroups

dc.contributor.author	PISOLKAR, SUPRIYA	en_US
dc.contributor.author	Rajan, C.S.	en_US
dc.date.accessioned	2019-04-29T10:20:30Z
dc.date.available	2019-04-29T10:20:30Z
dc.date.issued	2016-07	en_US
dc.identifier.citation	Journal of Algebra, 457, 106-128.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2869
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2016.02.022	en_US
dc.description.abstract	Let G be a connected, absolutely almost simple, algebraic group defined over a finitely generated, infinite field K, and let Γ be a Zariski dense subgroup of . We show, apart from some few exceptions, that the commensurability class of the field given by the compositum of the splitting fields of characteristic polynomials of generic elements of Γ determines the group G up to isogeny over the algebraic closure of K.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Weil groups	en_US
dc.subject	Lie groups	en_US
dc.subject	Group theory	en_US
dc.subject	Representations of Lie groups	en_US
dc.subject	Zariski dense subgroups	en_US
dc.subject	Characteristic polynomials	en_US
dc.subject	2016	en_US
dc.title	On the splitting fields of generic elements in Zariski dense subgroups	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