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Baumslag–Solitar Groups

  • Marianna C. Bonanome
  • Margaret H. Dean
  • Judith Putnam Dean
Chapter
Part of the Compact Textbooks in Mathematics book series (CTM)

Abstract

We introduce and explore the Baumslag–Solitar groups which is the famous collection of groups first described by G. Baumslag and D. Solitar. This collection, also referred to as BS groups, includes the first examples of finitely generated, one-relator non-hopfian groups. BS groups are widely known and provide many counter-examples and test-cases in combinatorial and geometric group theory.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Marianna C. Bonanome
    • 1
  • Margaret H. Dean
    • 2
  • Judith Putnam Dean
    • 3
  1. 1.Department of Math and Computer ScienceNew York City College of Technology, The City University of New YorkBrooklynUSA
  2. 2.Department of MathematicsBorough of Manhattan Community College, The City University of New YorkNew YorkUSA
  3. 3.Department of MathematicsMonroe Community CollegeRochesterUSA

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