Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 651-657
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E. I. Khukhro. Finite groups admitting a fixed-point-free 2-automorphism. Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 651-657. http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a1/
@article{MZM_1978_23_5_a1,
author = {E. I. Khukhro},
title = {Finite groups admitting a fixed-point-free 2-automorphism},
journal = {Matemati\v{c}eskie zametki},
pages = {651--657},
year = {1978},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a1/}
}
TY - JOUR
AU - E. I. Khukhro
TI - Finite groups admitting a fixed-point-free 2-automorphism
JO - Matematičeskie zametki
PY - 1978
SP - 651
EP - 657
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a1/
LA - ru
ID - MZM_1978_23_5_a1
ER -
%0 Journal Article
%A E. I. Khukhro
%T Finite groups admitting a fixed-point-free 2-automorphism
%J Matematičeskie zametki
%D 1978
%P 651-657
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a1/
%G ru
%F MZM_1978_23_5_a1
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 $2n-2$.
