On groups with a~system of nilpotent quotients (in Ukrainian)

О.V. Turash

1. Newman M.F. On a class of metabelian group Proc. London Math. Soc.(3) – 1960. – V.10. – P.354–364.

2. Newman M.F. On a class of nilpotent group Proc. London Math. Soc.(3) – 1960. – V.10. – P.365–375.

3. McCarthy D. Infinite groups whose proper quotients are finite Commun. Pure and Applied Math. – 1968. – V.21, № 6. – P.545–562.

4. McCarthy D. Infinite groups whose proper quotients are finite Commun. Pure and Applied Math. – 1968. – V.21, № 5. – P.157–167.

5. Wilson J.S. Groups with every proper quotients finite Proc. Cambr. Phil. Soc. – 1972. – V.69, № 3. – P.373–391.

6. Groves J.R.J. Soluble groups with every proper quotients polycyclic Ill. J. Math. – 1978. – V.22, №1. – P.90–95.

7. Robinson D.J.S., Wilson J.S. Soluble groups with many polycyclic quotients Proc. London Math. Soc.(3) – 1984. – V.48. – P.193–229.

8. Franciosi S., de Giovanni F. Soluble groups with many nilpotent quotients Proc. Royal Irish Acad. – 1989. – V.89A, № 1. — P.43–52.

9. Калашникова Н.В. Группы с некоторыми ограничениями на фактор-группы. – Деп. в ГНТБ Украины 12.10.95. N 2263 – Ук 95. 31 c.

10. Turash O. On groups with nilpotent quotients with respect to infinite normal subgroups Вiсник Львiвського ун-ту, cер. мех.-мат. – 1998. – Вип.49. – C.54–56.

11. Robinson D.J.S. Finiteness conditions and generalized soluble groups. Part 1. – Berlin: Springer, 1972. – 210 p.

12. Черников С.Н. Группы с заданными свойствами системы подгрупп. – М.: Наука, 1980. – 384 с.

	On groups with a~system of nilpotent quotients (in Ukrainian)
Author	О.V. Turash Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv
Abstract	We characterize $N_cQI$-groups with finite subgroups $I(G)$.
Keywords	finite subgroups, group characterization
DOI	doi:10.30970/ms.11.2.149-152
Reference	1. Newman M.F. On a class of metabelian group Proc. London Math. Soc.(3) – 1960. – V.10. – P.354–364. 2. Newman M.F. On a class of nilpotent group Proc. London Math. Soc.(3) – 1960. – V.10. – P.365–375. 3. McCarthy D. Infinite groups whose proper quotients are finite Commun. Pure and Applied Math. – 1968. – V.21, № 6. – P.545–562. 4. McCarthy D. Infinite groups whose proper quotients are finite Commun. Pure and Applied Math. – 1968. – V.21, № 5. – P.157–167. 5. Wilson J.S. Groups with every proper quotients finite Proc. Cambr. Phil. Soc. – 1972. – V.69, № 3. – P.373–391. 6. Groves J.R.J. Soluble groups with every proper quotients polycyclic Ill. J. Math. – 1978. – V.22, №1. – P.90–95. 7. Robinson D.J.S., Wilson J.S. Soluble groups with many polycyclic quotients Proc. London Math. Soc.(3) – 1984. – V.48. – P.193–229. 8. Franciosi S., de Giovanni F. Soluble groups with many nilpotent quotients Proc. Royal Irish Acad. – 1989. – V.89A, № 1. — P.43–52. 9. Калашникова Н.В. Группы с некоторыми ограничениями на фактор-группы. – Деп. в ГНТБ Украины 12.10.95. N 2263 – Ук 95. 31 c. 10. Turash O. On groups with nilpotent quotients with respect to infinite normal subgroups Вiсник Львiвського ун-ту, cер. мех.-мат. – 1998. – Вип.49. – C.54–56. 11. Robinson D.J.S. Finiteness conditions and generalized soluble groups. Part 1. – Berlin: Springer, 1972. – 210 p. 12. Черников С.Н. Группы с заданными свойствами системы подгрупп. – М.: Наука, 1980. – 384 с.
Pages	149-152
Volume	11
Issue	2
Year	1999
Journal	Matematychni Studii
Full text of paper	pdf
Table of content of issue	html