Geodesic
Mixed Groups of Finite Nilstufe
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 255-256

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

DOI

This paper constructs a class of examples to show that for torsion-free groups H with finite nilstufe v(H) = n < ∞ there can be divisible torsion groups D with v(H ⊕ D) - n + k for all k ≤ n + 1. This answers a question of Feigelstock. The construction is based on a proposition which bounds v(H ⊕ D) in terms of v(H) and rank (D).
DOI : 10.4153/CMB-1987-036-7
Mots-clés : 20K99 
Wilson, George V. Mixed Groups of Finite Nilstufe. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 255-256. doi: 10.4153/CMB-1987-036-7
@article{10_4153_CMB_1987_036_7,
     author = {Wilson, George V.},
     title = {Mixed {Groups} of {Finite} {Nilstufe}},
     journal = {Canadian mathematical bulletin},
     pages = {255--256},
     year = {1987},
     volume = {30},
     number = {2},
     doi = {10.4153/CMB-1987-036-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-036-7/}
}
TY  - JOUR
AU  - Wilson, George V.
TI  - Mixed Groups of Finite Nilstufe
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 255
EP  - 256
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-036-7/
DO  - 10.4153/CMB-1987-036-7
ID  - 10_4153_CMB_1987_036_7
ER  - 
%0 Journal Article
%A Wilson, George V.
%T Mixed Groups of Finite Nilstufe
%J Canadian mathematical bulletin
%D 1987
%P 255-256
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-036-7/
%R 10.4153/CMB-1987-036-7
%F 10_4153_CMB_1987_036_7

Cité par Sources :