Literature cited
V. S. Charin, “Groups of finite rank,” Ukr. Mat. Zh.,18, No. 3, 85–96 (1966).
V. M. Glushkov, “Some questions in the theory of nilpotent and locally nilpotent torsion -free groups,” Mat. Sb.,30, No. 1, 79–104 (1952).
V. M. Poletskikh, “Locally compact groups with the inductivity condition for closed subgroups,” Sib. Mat. Zh.,14, No. 3, 624–635 (1973).
A. G. Kurosh, Group Theory, Chelsea Publ.
N. Ya. Vilenkin, “The theory of topological groups. II,” Usp. Mat. Nauk,5, No. 4, 19–73 (1950).
V. S. Charin, “Several classes of locally bicompact groups with the maximality condition for Abelian subgroups,” Sib. Mat. Zh.,5, No. 12, 438–458 (1964).
V. M. Glushkov, “Locally nilpotent locally bicompact groups,” Tr. Mosk. Mat. O-va,4, 291–332 (1955).
V. M. Poletskikh, “Layer compact nilpotent groups,” Sib. Mat. Zh.,16, No. 4, 799–807 (1975).
A. I. Mal'tsev, “Nilpotent torsion-free groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, 201–212 (1949).
Z. I. Moskalenko, “Locally compact supersoluble groups,” Ukr. Mat. Zh.,24, No. 2, 238–247 (1973).
Yu. N. Mukhin and E. N. Starukhina, “Connected groups of finite rank,” Mat. Zap. Ural'sk. Inst.,8, No. 3, 94–100 (1972).
S. N. Chernikov, “Complete groups with increasing central series,” Mat. Sb.,18, 397–422 (1946).
V. S. Charin, “Groups of finite rank. I,” Ukr. Mat. Zh.,16, No. 2, 212–219 (1964).
P. Hall, “Nilpotent groups,” Matematika (Collection of translations),12, No. 1, 3–36 (1968).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 5, pp. 614–624, September–October, 1977.
Rights and permissions
About this article
Cite this article
Poletskikh, V.M. The topological isolator of a subgroup of finite rank. Ukr Math J 29, 469–476 (1977). https://doi.org/10.1007/BF01089897
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01089897