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


We outline basic group theory terms and concepts while providing greater depth for the fundamentals of group presentations, free groups, and trees. Groundwork is set for topics for further exploration, such as dead-end elements, revisited in the exploration of groups in the later chapters.


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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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