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A sampling of remarkable groups = Thompson's, self-similar, lamplighter, and Baumslag-Solitar /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A sampling of remarkable groups/ by Marianna C. Bonanome, Margaret H. Dean, Judith Putnam Dean.
Reminder of title:	Thompson's, self-similar, lamplighter, and Baumslag-Solitar /
Author:	Bonanome, Marianna C.
other author:	Dean, Margaret H.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xii, 188 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Group theory. -
Online resource:	https://doi.org/10.1007/978-3-030-01978-5
ISBN:	9783030019785

A sampling of remarkable groups = Thompson's, self-similar, lamplighter, and Baumslag-Solitar /
Bonanome, Marianna C.

A sampling of remarkable groupsThompson's, self-similar, lamplighter, and Baumslag-Solitar /[electronic resource] :by Marianna C. Bonanome, Margaret H. Dean, Judith Putnam Dean. - Cham :Springer International Publishing :2018. - xii, 188 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Preface -- Introduction -- Preliminaries -- Thompsons Group F -- The Lamplighter Group -- Braid Groups -- Baumslag-Solitar Groups -- Automatic Groups -- Conclusion -- Bibliography.

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.

ISBN: 9783030019785

Standard No.: 10.1007/978-3-030-01978-5doiSubjects--Topical Terms:

527791
Group theory.

LC Class. No.: QA174.2 / .B663 2018

Dewey Class. No.: 512.2

A sampling of remarkable groups = Thompson's, self-similar, lamplighter, and Baumslag-Solitar /
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505 0 $a Preface -- Introduction -- Preliminaries -- Thompsons Group F -- The Lamplighter Group -- Braid Groups -- Baumslag-Solitar Groups -- Automatic Groups -- Conclusion -- Bibliography.
520 $a 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.
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