We find a canonical representation for elements of a partially commutative group in a variety of soluble groups of derived length two and nilpotency class at most c ≥ 1.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. J. Duncan, I. V. Kazachkov, and V. N. Remeslennikov, “Parabolic and quasiparabolic subgroups of free partially commutative groups,” J. Alg., 318, No. 2, 918–932 (2007).
E. I. Timoshenko, “Universal equivalence of partially commutative metabelian groups,” Algebra Logika, 49, No. 2, 263–289 (2010).
M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], Nauka, Moscow (1984).
P. Hall, “Nilpotent groups,” Notes of lectures given at the Can. Math. Congr. Summer Seminar, Univ. Alberts (12–30 August, 1957), Queen Mary College Math. Notes, Queen Mary College (Univ. London), London (1969).
H. Neumann, Varieties of Groups, Springer, Berlin (1967).
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by RFBR, project No. 09-01-00099. (E. I. Timoshenko)
Translated from Algebra i Logika, Vol. 50, No. 5, pp. 647–658, September-October, 2011.
Rights and permissions
About this article
Cite this article
Timoshenko, E.I. A Mal’tsev basis for a partially commutative nilpotent metabelian group. Algebra Logic 50, 439–446 (2011). https://doi.org/10.1007/s10469-011-9154-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10469-011-9154-5