Abstract
We study non-Abelian solvable groups of finite non-Abelian sectional rank and prove that their (special) rank is finite.
This is a preview of subscription content, log in via an institution to check access.
References
O. Yu. Dashkova, “Locally nilpotent groups of finite non-Abelian sectional rank,”Ukr. Mat. Zk.,47, No. 4, 452–455 (1995).
O. Yu. Dashkova, “Solvable groups of finite non-Abelian rank,”Ukr. Mat. Zh.,42, No. 2, 159–164 (1990).
P. Hall, “On the finiteness of certain soluble groups,” in:Solvable and Simple Infinite Groups [Russian translation], Mir, Moscow (1981), pp. 171–206.
Rights and permissions
About this article
Cite this article
Dashkova, O.Y. Solvable groups of finite non-abelian sectional rank. Ukr Math J 48, 467–470 (1996). https://doi.org/10.1007/BF02378536
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02378536