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Lie rings with almost regular automorphisms

✍ Scribed by E.I. Khukhro; N.Yu. Makarenko


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
222 KB
Volume
264
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Groups and Lie Algebras with Almost Regu
✍ Y.A. Medvedev πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 358 KB

It is proved that if a locally nilpotent group \(G\) admits an almost regular automorphism of prime order \(p\) then \(G\) contains a nilpotent subgroup \(G_{1}\) such that \(\left|G: G_{1}\right| \leqslant f(p, m)\) and the class of nilpotency of \(G_{1} \leqslant g(p)\), where \(f\) is a function

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✍ GΓ©rard Endimioni πŸ“‚ Article πŸ“… 2010 πŸ› Springer 🌐 English βš– 165 KB
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✍ A. Jaikin-Zapirain πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 143 KB

In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk