An imbedding theorem for groups and its corollaries
Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 541-553
Voir la notice de l'article provenant de la source Math-Net.Ru
An “economical” imbedding theorem is proved for at most a denumerable set of groups of finite or denumerable cardinality without involution in a group with “few” subgroups. This result is used to solve a series of problems about groups satisfying the descending chain condition for subgroups; in particular, a nondenumerable group with this condition is constructed.
Bibliography: 20 titles.
@article{SM_1990_66_2_a14,
author = {V. N. Obraztsov},
title = {An imbedding theorem for groups and its corollaries},
journal = {Sbornik. Mathematics},
pages = {541--553},
publisher = {mathdoc},
volume = {66},
number = {2},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1990_66_2_a14/}
}
V. N. Obraztsov. An imbedding theorem for groups and its corollaries. Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 541-553. http://geodesic.mathdoc.fr/item/SM_1990_66_2_a14/