id: 06026865
dt: j
an: 06026865
au: Melnikov, Alexander G.
ti: Transforming trees into abelian groups.
so: N. Z. J. Math. 41, 75-81, electronic only (2011).
py: 2011
pu: New Zealand Mathematical Society, Auckland; Department of Mathematics, The
University of Auckland, Auckland
la: EN
cc:
ut: torsion-free abelian groups; effective transformations
ci:
li: http://nzjm.math.auckland.ac.nz/index.php/Transforming_Trees_into_Abelian_Groups
ab: Summary: We study a coding of trees into torsion-free abelian groups which
proved to be useful in effective algebra. We show that this
transformation is not injective. Furthermore, we show that for the
class of finite trees having all leaves at the same level, the
resulting groups are isomorphic if and only if the underlying trees
have the same number of nodes at corresponding levels.
rv: