Abstract
We study non-Abelian solvable groups of finite non-Abelian sectional rank and prove that their (special) rank is finite.
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.
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Dashkova, O.Y. Solvable groups of finite non-abelian sectional rank. Ukr Math J 48, 467–470 (1996). https://doi.org/10.1007/BF02378536
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DOI: https://doi.org/10.1007/BF02378536