A Sampling of Remarkable Groups : Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar / by Marianna C. Bonanome, Margaret H. Dean, Judith Putnam Dean

Von:

Bonanome, Marianna C [VerfasserIn]

Mitwirkende(r):

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Compact Textbooks in Mathematics | SpringerLink BücherVerlag: Cham : Springer International Publishing, 2018Beschreibung: Online-Ressource (XII, 188 p. 170 illus., 13 illus. in color, online resource)ISBN:

9783030019785

Schlagwörter:

Andere physische Formen: 9783030019761 | 9783030019778 | Erscheint auch als: A sampling of remarkable groups. Druck-Ausgabe Cham : Birkhäuser, 2018. xii, 188 Seiten | Printed edition: 9783030019761 | Printed edition: 9783030019778 DDC-Klassifikation:

512.2

RVK: RVK: SK 260LOC-Klassifikation:

QA174-183

DOI: DOI: 10.1007/978-3-030-01978-5Online-Ressourcen:

Zusammenfassung: 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 fieldsZusammenfassung: Preface -- Introduction -- Preliminaries -- Thompsons Group F -- The Lamplighter Group -- Braid Groups -- Baumslag-Solitar Groups -- Automatic Groups -- Conclusion -- BibliographyPPN: PPN: 1048369218Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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