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.
@article{10_4064_cm109_2_11,
author = {Clorinda De Vivo and Claudia Metelli},
title = {Butler groups splitting over a base element},
journal = {Colloquium Mathematicum},
pages = {297--305},
year = {2007},
volume = {109},
number = {2},
doi = {10.4064/cm109-2-11},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm109-2-11/}
}
TY - JOUR
AU - Clorinda De Vivo
AU - Claudia Metelli
TI - Butler groups splitting over a base element
JO - Colloquium Mathematicum
PY - 2007
SP - 297
EP - 305
VL - 109
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm109-2-11/
DO - 10.4064/cm109-2-11
LA - en
ID - 10_4064_cm109_2_11
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%T Butler groups splitting over a base element
%J Colloquium Mathematicum
%D 2007
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%V 109
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm109-2-11/
%R 10.4064/cm109-2-11
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Clorinda De Vivo; Claudia Metelli. Butler groups splitting over a base element. Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 297-305. doi: 10.4064/cm109-2-11