✦ LIBER ✦

Groups and Lie Algebras with Almost Regular Automorphisms

✍ Scribed by Y.A. Medvedev

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 358 KB
Volume: 164
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1093

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✦ Synopsis

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 on (p) and the number of fixed elements (m) and (g) depends on (p) only. An analog is proved for Lie rings (not necessarily locally nilpotent). These give an affirmative answer to the questions raised by Khukhro. 1994 Academic Press, Inc.

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