Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 19-29
Citer cet article
Z. I. Borevich; S. L. Krupetskii. Subgroups of the unitary group that contain the group of diagonal matrices. Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 19-29. http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a2/
@article{ZNSL_1979_86_a2,
author = {Z. I. Borevich and S. L. Krupetskii},
title = {Subgroups of the unitary group that contain the group of diagonal matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {19--29},
year = {1979},
volume = {86},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a2/}
}
TY - JOUR
AU - Z. I. Borevich
AU - S. L. Krupetskii
TI - Subgroups of the unitary group that contain the group of diagonal matrices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 19
EP - 29
VL - 86
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a2/
LA - ru
ID - ZNSL_1979_86_a2
ER -
%0 Journal Article
%A Z. I. Borevich
%A S. L. Krupetskii
%T Subgroups of the unitary group that contain the group of diagonal matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 19-29
%V 86
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a2/
%G ru
%F ZNSL_1979_86_a2
In the group $U(n,\mathbf C)$ of all complex unitary matrices we obtain a description of the lattice of those subgroups $H$ that contain the group of diagonal unitarymatrices. This lattice is finite, and the connected intermediate subgroups $H$ are in bijective correspondence with the equivalence relations on a set of $n$ elements.
