We study a class of Butler groups of infinite rank, called Hawaiian groups.They are defined as subgroups of a rational vector space and contain parameters that provide for flexibility but are concrete enough to allow for the computation of certain crucial subgroups and quotient groups, to exhibit endomorphisms and describe the endomorphism
rings. Most Hawaiian groups are finitely Butler; under stronger assumptions they are not finitely filtered and hence not $B_2$-groups.
Publié le : 2008-05-15
Classification:
torsion-free abelian group of infinite rank,
Butler group,
finitely Butler,
endomorphism ring,
free direct summand,
20K15,
20K20,
20K35,
20K40,
18E99,
20J05
@article{1253539562,
author = {MADER, Adolf and STR\"UNGMANN, Lutz},
title = {A class of Butler groups and their endomorphism rings},
journal = {Hokkaido Math. J.},
volume = {37},
number = {4},
year = {2008},
pages = { 399-425},
language = {en},
url = {http://dml.mathdoc.fr/item/1253539562}
}
MADER, Adolf; STRÜNGMANN, Lutz. A class of Butler groups and their endomorphism rings. Hokkaido Math. J., Tome 37 (2008) no. 4, pp. 399-425. http://gdmltest.u-ga.fr/item/1253539562/