The orders of nonsingular derivations

Aner Shalev
1999 Journal of the Australian Mathematical Society  
Nonsingular derivations of modular Lie algebras which have finite multiplicative order play a role in the coclass theory for pro-/? 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.
doi:10.1017/s1446788700001208 fatcat:2rdcm5o3qzdi7aumdpucqfnhvu