The class of almost completely decomposable groups with a critical typeset of type (2, 2) and a regulator quotient of exponent is shown to have exactly 4 near-isomorphism classes of indecomposable groups. Every group of the class is up to near-isomorphism uniquely a direct sum of these four indecomposable groups.
Classification :
20, 15, 16
Mots-clés : Almost completely decomposable group, indecomposable, bounded representation type
Mots-clés : Almost completely decomposable group, indecomposable, bounded representation type
Affiliations des auteurs :
Solak, Ebru 1
@article{RSMUP_2016__135__111_0, author = {Solak, Ebru}, title = {Classification of a class of torsion-free abelian groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {111--131}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {135}, year = {2016}, doi = {10.4171/RSMUP/135-6}, url = {http://www.numdam.org/articles/10.4171/RSMUP/135-6/} }
TY - JOUR AU - Solak, Ebru TI - Classification of a class of torsion-free abelian groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 111 EP - 131 VL - 135 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/135-6/ DO - 10.4171/RSMUP/135-6 ID - RSMUP_2016__135__111_0 ER -
%0 Journal Article %A Solak, Ebru %T Classification of a class of torsion-free abelian groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 111-131 %V 135 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/135-6/ %R 10.4171/RSMUP/135-6 %F RSMUP_2016__135__111_0
Solak, Ebru. Classification of a class of torsion-free abelian groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 111-131. doi : 10.4171/RSMUP/135-6. http://www.numdam.org/articles/10.4171/RSMUP/135-6/
Cité par Sources :