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Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes

  • Yang Pan EMAIL logo
Published/Copyright: August 8, 2017

Abstract

We investigate the saturation rank of a finite group scheme defined over an algebraically closed field 𝕜 of positive characteristic p. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group SLn.

MSC 2010: 17B50; 14L15

Acknowledgements

The results of this paper are part of the author’s doctoral thesis written at the University of Kiel. He would like to thank his advisor, Rolf Farnsteiner, for his continuous support. Furthermore, he thanks the members of his working group for proofreading the paper and the referee for useful comments.

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Received: 2017-1-11
Revised: 2017-7-22
Published Online: 2017-8-8
Published in Print: 2018-3-1

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