In this article we introduce and study two classes of finite groups
for which the orders of their subgroups satisfy a certain inequality.
These are closely connected to some well-known arithmetic classes of natural numbers.
Publié le : 2008-05-15
Classification:
finite groups,
subgroup lattices,
number of subgroups,
deficient numbers,
perfect numbers,
20D60,
20D30,
11A25,
11A99
@article{1225893949,
author = {De Medts, Tom and T\u arn\u auceanu, Marius},
title = {Finite groups determined by an inequality of the orders of their subgroups},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {15},
number = {1},
year = {2008},
pages = { 699-704},
language = {en},
url = {http://dml.mathdoc.fr/item/1225893949}
}
De Medts, Tom; Tărnăuceanu, Marius. Finite groups determined by an inequality of the orders of their subgroups. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp. 699-704. http://gdmltest.u-ga.fr/item/1225893949/