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Matematicheskie Zametki, 1978, Volume 23, Issue 5, Pages 651–657 (Mi mzm9994)  
Finite groups admitting a fixed-point-free 2-automorphism

E. I. Khukhro

Novosibirsk State University
Full-text PDF (934 kB)
Abstract: It is proved that if a finite group admits a fixed-point-free automorphism of order $2^n$, then its nilpotent length is at most $n$. It had been proved by Gross [1] that its nilpotent length is at most $2n-2$.
Received: 28.04.1977
English version:
Mathematical Notes, 1978, Volume 23, Issue 5, Pages 359–362
DOI: https://doi.org/10.1007/BF01789001
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: E. I. Khukhro, “Finite groups admitting a fixed-point-free 2-automorphism”, Mat. Zametki, 23:5 (1978), 651–657; Math. Notes, 23:5 (1978), 359–362
Citation in format AMSBIB
\Bibitem{Khu78}
\by E.~I.~Khukhro
\paper Finite groups admitting a fixed-point-free 2-automorphism
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 5
\pages 651--657
\mathnet{http://mi.mathnet.ru/mzm9994}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=491943}
\zmath{https://zbmath.org/?q=an:0403.20015|0385.20012}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 5
\pages 359--362
\crossref{https://doi.org/10.1007/BF01789001}
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