Geodesic
Sums of Complexes in Torsion-Free Abelian Groups
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 475-478

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

DOI

The number of elements in the sum A + B of two complexes A and B of a group G which have multiple representations a + b = a '+ b' has been investigated by Scherk and Kemperman [1]. Kemperman [2] appealed to transfinite techniques (to order G) to prove: If G is a torsion-free abelian group with finite subsets A and B with | B | ≥ 2, then at least two elements c of A + B admit exactly one representation c = a + b. 
Tarwater, J. D.; Entringer, R. C. Sums of Complexes in Torsion-Free Abelian Groups. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 475-478. doi: 10.4153/CMB-1969-060-4
@article{10_4153_CMB_1969_060_4,
     author = {Tarwater, J. D. and Entringer, R. C.},
     title = {Sums of {Complexes} in {Torsion-Free} {Abelian} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {475--478},
     year = {1969},
     volume = {12},
     number = {4},
     doi = {10.4153/CMB-1969-060-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-060-4/}
}
TY  - JOUR
AU  - Tarwater, J. D.
AU  - Entringer, R. C.
TI  - Sums of Complexes in Torsion-Free Abelian Groups
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 475
EP  - 478
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-060-4/
DO  - 10.4153/CMB-1969-060-4
ID  - 10_4153_CMB_1969_060_4
ER  - 
%0 Journal Article
%A Tarwater, J. D.
%A Entringer, R. C.
%T Sums of Complexes in Torsion-Free Abelian Groups
%J Canadian mathematical bulletin
%D 1969
%P 475-478
%V 12
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-060-4/
%R 10.4153/CMB-1969-060-4
%F 10_4153_CMB_1969_060_4

Cité par Sources :