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The orders of nonsingular derivations

Part of: General field theory Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  09 April 2009

Aner Shalev
Aner Shalev
Affiliation:
Institute of Mathematics The Hebrew University Jerusalem 91904 Israel e-mail: shalev@math.huji.ac.il
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Abstract

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Nonsingular derivations of modular Lie algebras which have finite multiplicative order play a role in the coclass theory for pro-p groups and Lie algebras. We study the orders of nonsingular derivations of finite-dimensional non-nilpotent Lie algebras of characteristic p > 0. The methods are essentially number-theoretic.

1991 Mathematics subject classification (Amer. Math. Soc): primary 17B50; secondary 12E20.

MSC classification

Secondary: 17B50: Modular Lie (super)algebras 12E20: Finite fields (field-theoretic aspects)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 67 , Issue 2 , October 1999 , pp. 254 - 260
Copyright
Copyright © Australian Mathematical Society 1999

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