Geodesic
The Herzog-Schönheim Conjecture for Finite Nilpotent Groups
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 329-333

Voir la notice de l'article provenant de la source Cambridge

DOI

The purpose of this note is to prove the Herzog-Schônheim [3] conjecture for finite nilpotent groups. This conjecture states that any nontrivial partition of a group into cosets must contain two cosets of the same index (Corollary IV below). See Porubský [4, Section 8] for a perspective on coset partitions.
DOI : 10.4153/CMB-1986-050-0
Mots-clés : 05A17, 10A45, 20DI5, 20D60, coset partition, Euler φ-function, nilpotent group 
Berger, Marc A.; Felzenbaum, Alexander; Fraenkel, Aviezri. The Herzog-Schönheim Conjecture for Finite Nilpotent Groups. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 329-333. doi: 10.4153/CMB-1986-050-0
@article{10_4153_CMB_1986_050_0,
     author = {Berger, Marc A. and Felzenbaum, Alexander and Fraenkel, Aviezri},
     title = {The {Herzog-Sch\"onheim} {Conjecture} for {Finite} {Nilpotent} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {329--333},
     year = {1986},
     volume = {29},
     number = {3},
     doi = {10.4153/CMB-1986-050-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-050-0/}
}
TY  - JOUR
AU  - Berger, Marc A.
AU  - Felzenbaum, Alexander
AU  - Fraenkel, Aviezri
TI  - The Herzog-Schönheim Conjecture for Finite Nilpotent Groups
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 329
EP  - 333
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-050-0/
DO  - 10.4153/CMB-1986-050-0
ID  - 10_4153_CMB_1986_050_0
ER  - 
%0 Journal Article
%A Berger, Marc A.
%A Felzenbaum, Alexander
%A Fraenkel, Aviezri
%T The Herzog-Schönheim Conjecture for Finite Nilpotent Groups
%J Canadian mathematical bulletin
%D 1986
%P 329-333
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-050-0/
%R 10.4153/CMB-1986-050-0
%F 10_4153_CMB_1986_050_0

Cité par Sources :