Covering Numbers of Unipotent Conjugacy Classes in Simple Algebraic Groups

For simple algebraic groups defined over algebraically closed fields of good characteristic, we give upper bounds on the covering numbers of unipotent conjugacy classes in terms of their (co)ranks and in terms of their dimensions.

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Bibliographic Details
Published inTransformation groups Vol. 29; no. 3; pp. 1199 - 1211
Main Author Simion, Iulian I.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2024
Springer Nature B.V
Subjects
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
Upper bounds
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Summary:For simple algebraic groups defined over algebraically closed fields of good characteristic, we give upper bounds on the covering numbers of unipotent conjugacy classes in terms of their (co)ranks and in terms of their dimensions.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-022-09756-2