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Fixed-point-free Automorphisms of Lie Algebras

查建国  
【摘要】: <正> In this paper we have proved that the De algebra L over a field F of charalteristic 0 whichadmits a fixed-point-free automorphism of finite order is solvable, and L is nilpotent if L admits a fixed-point free automorphism of prime order. The problem seems to be open if the field F has prime characteristic.

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