On the surjectivity of the power maps of semisimple algebraic groups

In this paper we study the surjectivity of the power maps $g\mapsto g^{n}$ for semisimple algebraic groups over an algebraically closed field of arbitrary characteristic. We describe certain necessary and sufficient conditions for surjectivity to hold. The results are applied to characterize the exponentiality of such groups.

Full Text (PDF format)

Published 1 January 2003