TY - JOUR
T1 - Distortion of embeddings of a torsion-free finitely generated nilpotent group into a unitriangular group
AU - Gul, Funda
AU - Myasnikov, Alexei G.
AU - Sohrabi, Mahmood
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - In this paper, we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups G into unitriangular groups UTn(ℤ). In particular, we show that there is no undistorted embeddings of 5-dimensional Heisenberg group into UTn(ℤ). We also provide a polynomial time algorithm for finding distortion of a given subgroup of G.
AB - In this paper, we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups G into unitriangular groups UTn(ℤ). In particular, we show that there is no undistorted embeddings of 5-dimensional Heisenberg group into UTn(ℤ). We also provide a polynomial time algorithm for finding distortion of a given subgroup of G.
KW - Heisenberg group
KW - Jennings' embedding
KW - Mal'cev basis
KW - Nickel's embedding
KW - Nilpotent groups
KW - subgroup distortion
KW - unitriangular groups
UR - http://www.scopus.com/inward/record.url?scp=85028807183&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85028807183&partnerID=8YFLogxK
U2 - 10.1142/S021819671750031X
DO - 10.1142/S021819671750031X
M3 - Article
AN - SCOPUS:85028807183
SN - 0218-1967
VL - 27
SP - 633
EP - 653
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 6
ER -