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Fixed-point-free automorphisms of Lie algebras

✍ Scribed by Zha Jianguo


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1989
Tongue
English
Weight
128 KB
Volume
5
Category
Article
ISSN
1439-7617

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On Almost Fixed Point Free Automorphisms
✍ A. Shalev πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 448 KB

Ideas from the theory of \(p\)-adic analytic groups are employed in the study of finite groups having automorphisms with few fixed points. In particular we prove that the derived length of a finite \(p\)-group admitting an automorphism of order \(p^{k}\) with \(p^{m}\) fixed points is bounded in ter