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Abelian and metabelian groups with regular automorphisms and semiautomorphisms

โœ Scribed by M. M. Glukhov; S. V. Larin

Publisher
SP MAIK Nauka/Interperiodica
Year
1972
Tongue
English
Weight
458 KB
Volume
12
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

Groups and Lie Algebras with Almost Regu
Groups and Lie Algebras with Almost Regular Automorphisms
โœ Y.A. Medvedev ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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