Office hours with a geometric group theorist

Office hours with a geometric group theorist

by Clay, Matt Margalit, Dan

Type Book
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"Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. [This book] brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics .... An essential primer for undergraduates making the leap to graduate work, the book begins with free groups -- actions of free groups on trees, algorithmi…

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Title Statements

  • Full title :Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit.

Summary

"Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. [This book] brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics .... An essential primer for undergraduates making the leap to graduate work, the book begins with free groups -- actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, [the book] also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects"--Back cover.

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Edition Statements

  • Publication Date:©2017.

Publication Statements

The Physical Object

  • Description:xii, 441 pages : : illustrations (some color) ; : 24 cm.

Edition Identifiers

  • ISBN:0691158665, 9780691158662
  • oclc:ocn962353239
  • LC Classification:QA183
  • Dewey Decimal:512.2

Subjects

Geometric group theory Geometrische Gruppentheorie Théorie géométrique des groupes

Writers

Clay, Matt Margalit, Dan

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