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Multiplicators and metabelian groups
Published online by Cambridge University Press: 09 April 2009
Abstract
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We prove here that the multiplicator of certain simply described metabelian groups is not finitely generated
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- Research Article
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- Journal of the Australian Mathematical Society , Volume 22 , Issue 3 , November 1976 , pp. 305 - 312
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- Copyright © Australian Mathematical Society 1976
References
Baumslag, Gilbert (1969), ‘Groups with the same lower central sequence as a relatively free group. II. Properties’, Trans. Amer. Math. S⊙c. 142, 507–538.CrossRefGoogle Scholar
Baumslag, Gilbert (1971), ‘A finitely generated infinitely related group with trivial multiplicator’, Bull. Austral. Math. Soc. 5, 131–136.CrossRefGoogle Scholar
Baumslag, Gilbert (1972), ‘Some remarks about multiplicators and finitely presented groups’, Math. Z. 126, 239–242.CrossRefGoogle Scholar
Baumslag, Gilbert (1974), ‘Finitely presented metabelian groups’, Proc. Second Internal. Conf. Theory of Groups, Canberra, 1973, 65–74 (Lecture Notes in Mathematics, 372, Springer-Verlag, Berlin, Heidelberg, New York).CrossRefGoogle Scholar
Baumslag, Gilbert and Strebel, Ralph (in press), ‘Some finitely generated, infinitely related metabelian groups with trivial multiplicator’, J. Algebra.Google Scholar
Bousfield, A. K. and Kan, D. (1971), ‘Homotopy Limits, Completions and Localizations’, (Lecture Notes in Mathematics 249, Springer-Verlag, Berlin, Heidelberg, New York).CrossRefGoogle Scholar
Gupta, C. K. (1969), ‘A faithful matrix representation for certain centre-by-metabelian groups’, J. Austral. Math. Soc. 10, 451–464.CrossRefGoogle Scholar
PeMecлeyHHIОБ, B. H. [Remeslennikov, V. N.] (1969), пpeдctaБлeнИэe Конeчно порождeннъIх MeTaбeлэBжиж Гρупп MaτρHцаmн- [Representaion of finitely generated metabelian groups by matrices], Algebra i Loġika 8, 72–75;Google Scholar
SШмэББкиш, A. Л. [Šmel'kin, A. L.] (1965), ‘O pазрэшимьі произбэ гρяпп’ [On soluble products of groups], Sibirsk. Mat. Ž. 6, 212–220.Google Scholar
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