Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 148-149
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A. A. Kravchenko. Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 148-149. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a12/
@article{ZNSL_1982_114_a12,
author = {A. A. Kravchenko},
title = {Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {148--149},
year = {1982},
volume = {114},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a12/}
}
TY - JOUR
AU - A. A. Kravchenko
TI - Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 148
EP - 149
VL - 114
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a12/
LA - ru
ID - ZNSL_1982_114_a12
ER -
%0 Journal Article
%A A. A. Kravchenko
%T Minimal number of generators of the lattice of subspaces of a finite-dimensional linear space
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 148-149
%V 114
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a12/
%G ru
%F ZNSL_1982_114_a12
It is proved that a minimal generating system of the lattice of all subspaces of a finite-dimensional vector space over a finite field of $q$ elements contains at most $\max(q+3)$ elements. This bound does not depend on the dimension of the space.
