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Lectures on Finitely Generated Solvable Groups pp 31–34Cite as

Finitely Generated Metabelian Groups

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Abstract

Among the results presented here are: There are only countably many isomorphism classes of finitely generated metabelian groups; Finitely generated metabelian groups satisfy the maximal condition for normal subgroups (a result by P. Hall).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Manhattan College, New York, NY, USA

    Katalin A. Bencsáth

  2. Department of Applied Mathematics and Computer Science New York City College of Technology, The City University of New York, Brooklyn, NY, USA

    Marianna C. Bonanome

  3. Department of Mathematics Borough of Manhattan Community College, The City University of New York, New York, NY, USA

    Margaret H. Dean & Marcos Zyman

Authors
  1. Katalin A. Bencsáth
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  2. Marianna C. Bonanome
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  3. Margaret H. Dean
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  4. Marcos Zyman
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© 2013 Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman

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Bencsáth, K.A., Bonanome, M.C., Dean, M.H., Zyman, M. (2013). Finitely Generated Metabelian Groups. In: Lectures on Finitely Generated Solvable Groups. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5450-2_6

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