A Sampling of Remarkable Groups Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar /

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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bonanome, Marianna C. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Dean, Margaret H. (http://id.loc.gov/vocabulary/relators/aut), Putnam Dean, Judith (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Bonanome, Marianna C.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 2 |a A Sampling of Remarkable Groups  |h [electronic resource] :  |b Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar /  |c by Marianna C. Bonanome, Margaret H. Dean, Judith Putnam Dean. 
250 |a 1st ed. 2018. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2018. 
300 |a XII, 188 p. 170 illus., 13 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Compact Textbooks in Mathematics,  |x 2296-4568 
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. 
650 0 |a Group theory. 
650 1 4 |a Group Theory and Generalizations.  |0 http://scigraph.springernature.com/things/product-market-codes/M11078 
700 1 |a Dean, Margaret H.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Putnam Dean, Judith.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783030019761 
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830 0 |a Compact Textbooks in Mathematics,  |x 2296-4568 
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