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Elements of specified order in simple algebraic groups.
- Source :
-
Transactions of the American Mathematical Society . Jan2005, Vol. 357 Issue 1, p221-245. 25p. - Publication Year :
- 2005
-
Abstract
- In this paper we let $G$ be a simple algebraic group and $r$ be a natural number, and consider the codimension in $G$ of the variety of elements $g\in G$ satisfying $g^r=1$. We shall obtain a lower bound for this codimension which is independent of characteristic, and show that it is attained if $G$ is of adjoint type. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
*NATURAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 357
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 15263923
- Full Text :
- https://doi.org/10.1090/S0002-9947-04-03694-3