Generalized Dieudonne and Honda criteria for primary Abelian groups
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1
P. V. Danchev. Generalized Dieudonne and Honda criteria for primary Abelian groups. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a7/
@article{AMUC_2008_77_1_a7,
     author = {P. V. Danchev},
     title = {Generalized {Dieudonne} and {Honda} criteria for primary {Abelian} groups},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a7/}
}
TY  - JOUR
AU  - P. V. Danchev
TI  - Generalized Dieudonne and Honda criteria for primary Abelian groups
JO  - Acta mathematica Universitatis Comenianae
PY  - 2008
VL  - 77
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a7/
ID  - AMUC_2008_77_1_a7
ER  - 
%0 Journal Article
%A P. V. Danchev
%T Generalized Dieudonne and Honda criteria for primary Abelian groups
%J Acta mathematica Universitatis Comenianae
%D 2008
%V 77
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a7/
%F AMUC_2008_77_1_a7

Voir la notice de l'article provenant de la source Comenius University

We prove two theorems of the type of Dieudonne for the classes of p -torsion n -Σ-groups and weakly n -summable groups, respectively. These claims extend the classical Dieudonne criterion (Portugal. Math., 1952) and Honda criterion (Comment. Math. Univ. St. Pauli, 1964) as well as generalize recent results of ours in (Acta Math. Univ. Ostrav., 2006; 2007) and (Alg. Colloq., 2008).