TY - JOUR
T1 - Groups elementarily equivalent to a free nilpotent group of finite rank
AU - Myasnikov, Alexei G.
AU - Sohrabi, Mahmood
PY - 2011/11
Y1 - 2011/11
N2 - In this paper, we give a complete algebraic description of groups elementarily equivalent to the P. Hall completion of a given free nilpotent group of finite rank over an arbitrary binomial domain. In particular, we characterize all groups elementarily equivalent to a free nilpotent group of finite rank.
AB - In this paper, we give a complete algebraic description of groups elementarily equivalent to the P. Hall completion of a given free nilpotent group of finite rank over an arbitrary binomial domain. In particular, we characterize all groups elementarily equivalent to a free nilpotent group of finite rank.
KW - Abelian deformation
KW - Elementary equivalence
KW - Free nilpotent group
KW - P. Hall completion
UR - http://www.scopus.com/inward/record.url?scp=79960132232&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79960132232&partnerID=8YFLogxK
U2 - 10.1016/j.apal.2011.04.003
DO - 10.1016/j.apal.2011.04.003
M3 - Article
AN - SCOPUS:79960132232
SN - 0168-0072
VL - 162
SP - 916
EP - 933
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
IS - 11
ER -