Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 181-185
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Z. I. Borevich. A symplectic space with $p$-groups of operators over a field of characteristic $p$. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 181-185. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a5/
@article{MZM_1969_6_2_a5,
author = {Z. I. Borevich},
title = {A~symplectic space with $p$-groups of operators over a~field of characteristic~$p$},
journal = {Matemati\v{c}eskie zametki},
pages = {181--185},
year = {1969},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a5/}
}
TY - JOUR
AU - Z. I. Borevich
TI - A symplectic space with $p$-groups of operators over a field of characteristic $p$
JO - Matematičeskie zametki
PY - 1969
SP - 181
EP - 185
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a5/
LA - ru
ID - MZM_1969_6_2_a5
ER -
%0 Journal Article
%A Z. I. Borevich
%T A symplectic space with $p$-groups of operators over a field of characteristic $p$
%J Matematičeskie zametki
%D 1969
%P 181-185
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a5/
%G ru
%F MZM_1969_6_2_a5
Let $K$ be a field of nonzero characteristic pne2, let $G$ be a finite $p$-group, and let $M$ be a nondegenerate finite-dimensional symplectic space over $K$ with the matching structure of a $G$-module. It is proven that if $M$ is a free $K[G]$-module then there exists in $M$ a normal basis with a canonical Gram matrix.
