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// Matematicheskie Zametki
// Archive
Mat. 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
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
$2n-2$
.
UDC:
519.4
Received:
28.04.1977
Fulltext:
PDF file (934 kB)
English version:
Mathematical Notes, 1978,
23
:5,
359–362
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024