×

Generalized Magnus embeddings and some applications. (English) Zbl 0362.20031


MSC:

20H25 Other matrix groups over rings
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Auslander, M., Lyndon, R.C.: Commutator subgroups of free groups. Amer. J. Math.77, 929-931 (1955) · Zbl 0065.25903 · doi:10.2307/2372606
[2] Bachmuth, S.: Automorphisms of free metabelian groups. Trans. Amer. Math. Soc.118, 93-104 (1965) · Zbl 0131.02101 · doi:10.1090/S0002-9947-1965-0180597-3
[3] Bachmuth, S., Hughes, I.: Applications of a theorem of Magnus. Arch. Math. (Basel)17, 380-382 (1966) · Zbl 0143.03602
[4] Blackburn, N.: Conjugacy in nilpotent groups. Proc. Amer. Math. Soc.16, 143-148 (1965) · Zbl 0127.01302 · doi:10.1090/S0002-9939-1965-0172925-5
[5] Cohen, D.E.: On the laws of a metabelian variety. J. Algebra5, 267-273 (1967) · Zbl 0157.34802 · doi:10.1016/0021-8693(67)90039-7
[6] Dunwoody, M.J.: The Magnus embedding. J. London Math. Soc., II. Ser.44, 115-117 (1969) · Zbl 0174.30802 · doi:10.1112/jlms/s1-44.1.115
[7] Gruenberg, K.W.: Cohomological Topics in Group Theory. Lecture Notes in Mathematics143. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0205.32701
[8] Gupta, C.K.: The free centre-by-metabelian groups. J. Austral. Math. Soc.16, 294-299 (1973) · Zbl 0275.20061 · doi:10.1017/S144678870001507X
[9] Gupta, C.K.: Gupta, N.D.: On the linearity of free nilpotent-by-abelian groups. J. Algebra24, 293-302 (1973) · Zbl 0252.20021 · doi:10.1016/0021-8693(73)90139-7
[10] Gupta, N.: Certain commutator subgroups of free groups. Comm. Pure Appl. Math.26, 699-702 (1973) · Zbl 0274.20050 · doi:10.1002/cpa.3160260512
[11] Magnus, W.: Über Beziehungen zwischen höheren Kommutatoren. J. Reine Angew. Math.177, 105-115 (1937) · Zbl 0016.29401 · doi:10.1515/crll.1937.177.105
[12] Magnus, W.: On a theorem of Marshall Hall. Ann of Math., II. Ser.40, 764-768 (1939) · JFM 65.0068.01 · doi:10.2307/1968892
[13] Magnus, W., Karrass, A., Solitar, D.: Combinatorial Group Theory. New York: Interscience 1966 · Zbl 0138.25604
[14] Mal’cev, A.I.: On free soluble groups (Russian). Dokl. Akad. Nauk SSSR 130, 495-498 (1960) (Translated as Soviet Math., Doklady1, 65-68 (1960))
[15] Ojanguren, M.: Freie Präsentierungen endlicher Gruppen und zugehörige Darstellungen. Math. Z.106, 293-311 (1968) · Zbl 0159.30503 · doi:10.1007/BF01110277
[16] Remeslennikov, V.N., Sokolov, V.G.: Some properties of a Magnus embedding. Algebra and Logic9, 342-349 (1970) (English translation) · Zbl 0247.20026 · doi:10.1007/BF02321898
[17] Sarkisyan, R.A.: Conjugacy in free polynilpotent groups (Russian). Algebra i Logika11, 694-710 (1972)
[18] ?mel’kin, A.L.: Wreath products and varieties of groups (Russian). Dokl. Akad. Nauk SSSR157, 1063-1065 (1964)
[19] Strebel, R., Thomson, M.: On the multiplicator ofF/? c+1 (R). Preprint
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.