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Stöhr, Ralph

On Gupta representations of central extensions. (English) Zbl 0543.20021

Math. Z. 187, 259-267 (1984).
See the preview in Zbl 0526.20022.

Cited in 3 Reviews
Cited in 17 Documents

MSC:

20E22 Extensions, wreath products, and other compositions of groups
20F14 Derived series, central series, and generalizations for groups
20J05 Homological methods in group theory
20E05 Free nonabelian groups
20F05 Generators, relations, and presentations of groups

Keywords:

lower central series; matrix representation; Gupta representation; torsion element; homology group

Citations:

Zbl 0369.20030; Zbl 0362.20031; Zbl 0519.20029; Zbl 0388.20024; Zbl 0402.20026; Zbl 0526.20022
Cite Review PDF
Full Text: DOI EuDML

References:

[1] Baumslag, G., Strebel, R., Thomson, M.W.: On the multiplicator of F/y c R. J. Pure Appl. Algebra16, 121-132 (1980) · Zbl 0426.20025 · doi:10.1016/0022-4049(80)90011-0
[2] Cartan, H., Eilenberg, S.: Homological Algebra. Princeton: Princeton University Press 1956 · Zbl 0075.24305
[3] Gupta, C.K.: The free centre-by-metabelian groups. J. Austral. Math. Soc.16, 294-300 (1973) · Zbl 0275.20061 · doi:10.1017/S144678870001507X
[4] Gupta, C.K., Gupta, N.D.: Generalized Magnus embeddins and some applications. Math. Z.160, 75-87 (1978) · doi:10.1007/BF01182332
[5] Hilton, J.P., Stammbach, U.: A course in homological algebra. Graduate Texts in Mathematics4. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0238.18006
[6] Kusmin, J.V.: Free centre-by-metabelian groups, Lie algebras andD-groups. Izv. Akad. Nauk SSSR Ser. Mat.41, 3-33 (1977) [Russian]; English Transl.: Math. USSR-Izv.11, 1-30 (1977)
[7] Kusmin, J.V.: On elements of finite order in free groups of some varieties. Mat. Sb.119, 119-131 (1982) [Russian]
[8] Kusmin, J.V.: The structure of the free groups of some varieties. Mat. Sb. (to appear) [Russian]
[9] Lewin, J., Lewin, T.: On center by abelian by one-relator groups. Comm. Pure Appl. Math.26, 767-774 (1973) · Zbl 0288.20042 · doi:10.1002/cpa.3160260518
[10] ?melkin, A.L.: Wreath products and varieties of groups. Izv. Akad. Nauk SSSR Ser. Mat.29, 149-170 (1965 [Russian] · Zbl 0135.04701
[11] Stöhr, R.: On free central extensions of free nilpotent-by-abelian groups. Preprint, Berlin 1983
[12] Thomson, M.W.: Representations of certain verbal wreath products by matrices. Math. Z.167, 239-257 (1979) · doi:10.1007/BF01174804
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