Commutators with Some Special Elements in Chevalley Groups

Autor:	Nikolai Gordeev, Erich W. Ellers
Rok vydání:	2014
Předmět:	Statistics and Probability Pure mathematics Conjugacy class Group of Lie type Group (mathematics) Applied Mathematics General Mathematics Algebraic group Simple group Simply connected space Field (mathematics) Unipotent Mathematics
Zdroj:	Journal of Mathematical Sciences. 202:395-403
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-014-2049-y
Popis:	Let G = G(K), where G is a simple and simply connected algebraic group that is defined and quasi-split over a field K. Commutators in G with some regular elements are considered. In particular, it is proved (under some additional condition) that every unipotent regular element of G is conjugate to a commutator [g, v], where g is any fixed semisimple regular element of G, and that every non-central element of G is conjugate to a product [g, σ][ureg, τ ], where g is a special element of the group G and ureg is a regular unipotent element of G. Bibliography: 12 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c86f3f980fd1102526237b27db61d093 https://doi.org/10.1007/s10958-014-2049-y Zobrazit plný text záznamu Plný text ve formátu PDF