A Sampling of Remarkable Groups Thompson's, Self-similar, Lampli
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
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Marianna C. Bonanome Margaret H. Dean Judith Putnam Dean
A Sampling of Remarkable Groups Thompson’s, Self-similar, Lamplighter, and Baumslag-Solitar
Compact Textbooks in Mathematics
Compact Textbooks in Mathematics This textbook series presents concise introductions to current topics in mathematics and mainly addresses advanced undergraduates and master students. The concept is to offer small books covering subject matter equivalent to 2- or 3-hour lectures or seminars which are also suitable for self-study. The books provide students and teachers with new perspectives and novel approaches. They may feature examples and exercises to illustrate key concepts and applications of the theoretical contents. The series also includes textbooks specifically speaking to the needs of students from other disciplines such as physics, computer science, engineering, life sciences, finance. • compact: small books presenting the relevant knowledge • learning made easy: examples and exercises illustrate the application of the contents • useful for lecturers: each title can serve as basis and guideline for a semester course/lecture/seminar of 2–3 hours per week.
More information about this series at http://www.springer.com/series/11225
Marianna C. Bonanome • Margaret H. Dean Judith Putnam Dean
A Sampling of Remarkable Groups Thompson’s, Self-similar, Lamplighter, and Baumslag-Solitar
Marianna C. Bonanome Department of Math and Computer Science New York City College of Technology The City University of New York Brooklyn, NY, USA
Margaret H. Dean Department of Mathematics Borough of Manhattan Community College The City University of New York New York, NY, USA
Judith Putnam Dean Department of Mathematics Monroe Community College Rochester, NY, USA
ISSN 2296-4568 ISSN 2296-455X (electronic) Compact Textbooks in Mathematics ISBN 978-3-030-01976-1 ISBN 978-3-030-01978-5 (eBook) https://doi.org/10.1007/978-3-030-01978-5 Library of Congress Control Number: 2018958914 Mathematics Subject Classification: 20-01, 20E06, 20E22, 20F10, 20F65, 20E08, 20F50, 20F99, 22F50 © Springer Nature Switzerland AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor th
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