Butler groups splitting over a base element

Clorinda De Vivo; Claudia Metelli

Colloquium Mathematicae (2007)

  • Volume: 109, Issue: 2, page 297-305
  • ISSN: 0010-1354

Abstract

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We characterize a particular kind of decomposition of a Butler group that is the general case for Butler B(1)-groups; and exhibit a decomposition of a B(2)-group which is not of that kind.

How to cite

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Clorinda De Vivo, and Claudia Metelli. "Butler groups splitting over a base element." Colloquium Mathematicae 109.2 (2007): 297-305. <http://eudml.org/doc/283980>.

@article{ClorindaDeVivo2007,
abstract = {We characterize a particular kind of decomposition of a Butler group that is the general case for Butler B(1)-groups; and exhibit a decomposition of a B(2)-group which is not of that kind.},
author = {Clorinda De Vivo, Claudia Metelli},
journal = {Colloquium Mathematicae},
keywords = {finite rank torsion-free Abelian groups; Butler groups; -groups; -groups; direct decompositions; base changes; partition lattices; finite algorithms},
language = {eng},
number = {2},
pages = {297-305},
title = {Butler groups splitting over a base element},
url = {http://eudml.org/doc/283980},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Clorinda De Vivo
AU - Claudia Metelli
TI - Butler groups splitting over a base element
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 2
SP - 297
EP - 305
AB - We characterize a particular kind of decomposition of a Butler group that is the general case for Butler B(1)-groups; and exhibit a decomposition of a B(2)-group which is not of that kind.
LA - eng
KW - finite rank torsion-free Abelian groups; Butler groups; -groups; -groups; direct decompositions; base changes; partition lattices; finite algorithms
UR - http://eudml.org/doc/283980
ER -

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