03133nam 22005175 450 991030966530332120200705002339.03-030-01978-010.1007/978-3-030-01978-5(CKB)4100000007389445(DE-He213)978-3-030-01978-5(MiAaPQ)EBC6252726(PPN)233800670(EXLCZ)99410000000738944520190104d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierA Sampling of Remarkable Groups Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar /by Marianna C. Bonanome, Margaret H. Dean, Judith Putnam Dean1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (XII, 188 p. 170 illus., 13 illus. in color.) Compact Textbooks in Mathematics,2296-4568Includes index.3-030-01976-4 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.Compact Textbooks in Mathematics,2296-4568Group theoryGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Group theory.Group Theory and Generalizations.512.2512.2Bonanome Marianna Cauthttp://id.loc.gov/vocabulary/relators/aut767703Dean Margaret Hauthttp://id.loc.gov/vocabulary/relators/autPutnam Dean Judithauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910309665303321A Sampling of Remarkable Groups2163211UNINA