The concept of the non-Abelian rank of a group is introduced. Solvable groups of finite non-Abelian rank are studied and it is proved that their (special) rank is finite.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
A. I. Mal'tsev, “On groups of finite rank,” Mat. Sb.,22, No. 2, 351–352 (1948).
O. Yu. Dashkova, “Groups of finite non-Abelian rank,” in: Materials of the 24th All-Union Scientific Student Conference: Mathematics, Novosibirsk University, Novosibirsk (1986), pp. 14–17.
O. Yu. Dashkova, “On groups of finite non-Abelian rank,” in: 19th All-Union Algebra Conference: Abstracts of Reports, Part 2, Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of the UkrSSR, Lvov (1987), pp. 81–82.
B. Huppert, Endliche Gruppen I, Springer, Berlin (1967).
P. Hall, “On the finiteness of certain solvable groups,” in: Solvable and Simple Infinite Groups [Russian translation], Mir, Moscow (1981), pp. 171–206.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 2, pp. 159–164, February, 1990.
About this article
Cite this article
Dashkova, O.Y. Solvable groups of finite non-Abelian rank. Ukr Math J 42, 140–144 (1990). https://doi.org/10.1007/BF01071005
- Solvable Group