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A Sampling of Remarkable Groups

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 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.



  • Condition: --
    HPB condition ratings
    • New: Item is brand new, unused and unmarked, in flawless condition.
    • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
    • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
    • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
    • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
    • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
    Conditions Guide
  • Format: Paperback
  • Sold by: --
  • Language: English
  • Publisher: Birkhauser
  • ISBN-13: 9783030019761
  • ISBN: 3030019764
  • Publication Year: 2019
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HPB condition ratings
  • New: Item is brand new, unused and unmarked, in flawless condition.
  • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
  • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
  • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
  • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
  • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
Conditions Guide
HPB condition ratings
  • New: Mint condition or still sealed (SS). Absolutely perfect in every way. New.
  • Fine/Like New (EX): No defects, little sign of use, well cared for. Plays perfectly. Close to new. Not necessarily sealed or unused, but close. Could be an unopened promotional or cut item. Sometimes called: mint-minus.
  • Very Good (VG): Will show some signs that it was played and otherwise handled by a previous owner who took good care of it.
  • Good (G): Attractive and well cared for, but no longer fresh. Minor signs of wear, scuffing or scratching, but will play almost perfectly. For vinyl: barely detectable crackles or pops.
  • Fair (FR): This item is in okay condition. For vinyl: good is not so good and the record may have low level crackles or pops when playing. CD: one or more tracks may skip.
  • Poor (P): Obviously well-worn and handled. Most vinyl collectors will not buy good or below, but some tracks on CD or vinyl will play.
Conditions Guide
HPB condition ratings
  • New: This movie is unopened and brand new.
  • Fine/Like New (EX): Near new. No defects, little sign of use. Plays perfectly. Not necessarily sealed or unused, but close. No skipping; no fuzzy or snowy frames in VHS.
  • Very Good (VG): Attractive and well cared for but no longer fresh. Minor signs of wear, but will play almost perfectly. For VHS: barely detectable distortion or very few fuzzy or snowy frames.
  • Good (G): This item is in okay condition and basically works well. There may be some minor distortion on VHS tape; slight scratching or wear on DVD.
  • Fair (FR): Basically plays, but may be obviously well-worn with some scratching or tape distortion.
  • Poor (P): Disc or tape is intact, but may be scratched or stretched. There may be skips or distortion or product defects.
Conditions Guide
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