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Constructions

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Lectures on Finitely Generated Solvable Groups

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Abstract

We develop three constructions essential to the study of combinatorial group theory; namely semi-direct products, wreath products and HNN-extensions. We offer an internal and external viewpoint of all three constructions along with illustrative examples for each (the Baumslag-Solitar group B(2,3) among them).

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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). Constructions. In: Lectures on Finitely Generated Solvable Groups. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5450-2_3

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