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Group algebras with almost maximal lie nilpotency index

✍ Scribed by Ernesto Spinelli

Publisher: Springer Milan
Year: 2005
Tongue: Italian
Weight: 124 KB
Volume: 54
Category: Article
ISSN: 0009-725X
DOI: 10.1007/bf02874942

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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