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  1. Bog
  2. Matematik
  3. Grupper og gruppeteori

Office Hours with a Geometric Group Theorist

Engelsk Paperback

Office Hours with a Geometric Group Theorist

Engelsk Paperback
Tjek vores konkurrenters priser

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. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It''s like having office hours with your most trusted math professors.

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, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

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Tjek vores konkurrenters priser
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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. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It''s like having office hours with your most trusted math professors.

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, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 456
ISBN-13: 9780691158662
Indbinding: Paperback
Udgave:
ISBN-10: 0691158665
Kategori: Grupper og gruppeteori
Udg. Dato: 11 jul 2017
Længde: 30mm
Bredde: 234mm
Højde: 158mm
Forlag: Princeton University Press
Oplagsdato: 11 jul 2017
Forfatter(e):
Forfatter(e)

Kategori Grupper og gruppeteori

ISBN-13 9780691158662

Sprog Engelsk

Indbinding Paperback

Sider 456

Udgave

Længde 30mm

Bredde 234mm

Højde 158mm

Udg. Dato 11 jul 2017

Oplagsdato 11 jul 2017

Forlag Princeton University Press

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