Compact Textbooks in Mathematics

A Sampling of Remarkable Groups

Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar

Authors: Bonanome, Marianna C., Dean, Margaret H., Putnam Dean, Judith

Free Preview
  • Explores an interesting sampling of groups typically not encountered until later in a student’s career
  • Provides a concise and accessible introduction to more advanced topics in group theory
  • Contains numerous exercises of varying difficulty to reinforce the material
see more benefits

Buy this book

eBook 37,44 €
price for Spain (gross)
valid through March 31, 2021
  • ISBN 978-3-030-01978-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
valid through March 31, 2021
  • ISBN 978-3-030-01976-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This textbook offers students with a basic understanding of group theory a preview of several interesting groups they would not typically encounter until later in their academic careers. By presenting these advanced concepts at this stage, they will gain a deeper understanding of the subject and be motivated to explore more of it.

Groups covered include Thompson’s groups, self-similar groups, Lamplighter groups, and Baumslag-Solitar groups. Each chapter focuses on one of these groups, and begins by discussing why they are interesting, how they originated, and why they are important mathematically. A collection of specific references for additional reading, topics for further research, and exercises are included at the end of every chapter to encourage students’ continued education.

With its accessible presentation and engaging style, A Sampling of Remarkable Groups is suitable for students in upper-level undergraduate or beginning graduate abstract algebra courses. It will also be of interest to researchers in mathematics, computer science, and related fields.

About the authors

​Dr. Marianna Bonanome is an associate professor in mathematics at City Tech, CUNY.  Her current research interest is in quantum algorithms and combinatorial group theory. She coordinates a faculty seminar on teaching best practices, is writing intensive certified and experiments with new ways of using technology in the classroom.
Dr. Margaret H. Dean is an associate professor in mathematics at BMCC, CUNY.  Her current research interest is in metabelian groups.  In the area of undergraduate education, she is involved in various projects to study, disseminate and implement alternative learning methods in the classroom and to promote quantitative literacy across the curriculum.
Judith Putnam Dean is an associate professor in mathematics at Monroe Community College. As a Flipped Learning specialist, she helped develop a mastery flipped program for developmental math, designs flipped classes for upper level courses, creates instructional videos and shares her expertise through leading workshops. In addition she has created online, OER and writing intensive courses. 

Reviews

“This delightful book is dedicated to introducing an advanced undergraduate student to the study of some aspects of infinite groups theory. … The whole book is enriched with beautiful and instructive illustrations.” (Enrico Jabara, zbMATH 1446.20001, 2020)


Buy this book

eBook 37,44 €
price for Spain (gross)
valid through March 31, 2021
  • ISBN 978-3-030-01978-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
valid through March 31, 2021
  • ISBN 978-3-030-01976-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
A Sampling of Remarkable Groups
Book Subtitle
Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-01978-5
DOI
10.1007/978-3-030-01978-5
Softcover ISBN
978-3-030-01976-1
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XII, 188
Number of Illustrations
157 b/w illustrations, 13 illustrations in colour
Topics