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Witt groups and unipotent elements in algebraic groups
Author(s) -
Proud Richard
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/82.3.647
Subject(s) - unipotent , mathematics , algebraically closed field , algebraic group , abelian group , pure mathematics , algebraic number , group (periodic table) , order (exchange) , reductive group , field (mathematics) , algebra over a field , group theory , mathematical analysis , chemistry , organic chemistry , finance , economics
Let G be a semisimple algebraic group defined over an algebraically closed field K of good characteristic p >0. Let u be a unipotent element of G of order p t , for some t ∈ N. In this paper it is shown that u lies in a closed subgroup of G isomorphic to the it Witt group W t (K), which is a t ‐dimensional connected abelian unipotent algebraic group. 2000 Mathematics Subject Classification : 20G15.