£66.50

Property ($T$) for Groups Graded by Root Systems (Memoirs of the American Mathematical Society)

Price data last checked 17 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£67 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey
↓ Forecast
where the price is heading next
↓ Statistics
all-time high & low, recent range
↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 74 days · 74 data points (no recent data)

Historical
Generating forecast…
£66.50 £63.18 £64.51 £65.84 £67.17 £68.50 £69.83 26 April 2026 14 May 2026 01 June 2026 19 June 2026 08 July 2026

Price Distribution

Price distribution over 74 days • 1 price levels

Days at Price
74 days 0 19 37 56 74 £67 Days at Price

Price Analysis

Most common price: £67 (74 days, 100.0%)

Price range: £67 - £67

Price levels: 1 different prices over 74 days

Description

About the Author Mikhail Ershov, University of Virginia, Charlottesville, Virginia.Andrei Jaikin-Zapirain, Universidad Autonoma de Madrid, Spain and Instituto de Ciencias Matematicas, Madrid, Spain.Martin Kassabov, Cornell University, Ithaca, New York, and University of Southampton, United Kingdom. Product Description The authors introduce and study the class of groups graded by root systems. They prove that if $\Phi$ is an irreducible classical root system of rank $\geq 2$ and $G$ is a group graded by $\Phi$, then under certain natural conditions on the grading, the union of the root subgroups is a Kazhdan subset of $G$. As the main application of this theorem the authors prove that for any reduced irreducible classical root system $\Phi$ of rank $\geq 2$ and a finitely generated commutative ring $R$ with $1$, the Steinberg group ${\mathrm St}_{\Phi}(R)$ and the elementary Chevalley group $\mathbb E_{\Phi}(R)$ have property $(T)$. They also show that there exists a group with property $(T)$ which maps onto all finite simple groups of Lie type and rank $\geq 2$, thereby providing a ``unified'' proof of expansion in these groups.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 October 2017
Listed Since
28 June 2017

Barcode

No barcode data available

Similar Products You Might Like

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups (Memoirs of the American Mathematical Society)
97% match

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups (Memoirs of the American Mathematical Society)

£77.95 04 Jul 2026
Maximal Abelian Sets of Roots (Memoirs of the American Mathematical Society)
97% match

Maximal Abelian Sets of Roots (Memoirs of the American Mathematical Society)

£66.50 16 Jul 2026
Irreducible Almost Simple Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)
96% match

Irreducible Almost Simple Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)

£78.95 04 Jul 2026
Representations of Finite Groups of Lie Type: 95 (London Mathematical Society Student Texts, Series Number 95)
96% match

Representations of Finite Groups of Lie Type: 95 (London Mathematical Society Student Texts, Series Number 95)

Cambridge University Press

£92.72 09 Jul 2026
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM–129), Volume 129 (Annals of Mathematics Studies, 129)
96% match

The Admissible Dual of GL(N) via Compact Open Subgroups. (AM–129), Volume 129 (Annals of Mathematics Studies, 129)

Princeton University Press

£63.03 03 Jul 2026
The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)
96% match

The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)

£89.28 22 Jul 2026
Representations of Real and P-adic Groups - Lecture Notes
96% match

Representations of Real and P-adic Groups - Lecture Notes

Scientific Publishing

£71.18 19 Jul 2026
The Langlands Classification and Irreducible Characters for Real Reductive Groups: 104 (Progress in Mathematics, 104)
96% match

The Langlands Classification and Irreducible Characters for Real Reductive Groups: 104 (Progress in Mathematics, 104)

Birkhauser

£100.10 09 Jul 2026
Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson: 9 (Australian Mathematical Society Lecture Series, Series Number 9)
96% match

Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson: 9 (Australian Mathematical Society Lecture Series, Series Number 9)

Cambridge University Press

£65.32 07 May 2026
Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field: 170 (Cambridge Studies in Advanced Mathematics)
96% match

Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field: 170 (Cambridge Studies in Advanced Mathematics)

Cambridge University Press

£93.00 16 Jun 2026
The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: the Generic Case, Stages 3b and 4a (Mathematical Surveys and Monographs)
96% match

The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: the Generic Case, Stages 3b and 4a (Mathematical Surveys and Monographs)

£87.99 12 Jul 2026
Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183) (Annals of Mathematics Studies)
96% match

Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183) (Annals of Mathematics Studies)

Princeton University Press

£74.00 02 Jul 2026
Imprimitive Irreducible Modules for Finite Quasisimple Groups (Memoirs of the American Mathematical Society)
96% match

Imprimitive Irreducible Modules for Finite Quasisimple Groups (Memoirs of the American Mathematical Society)

£70.50 07 Jul 2026
The Classification of the Finite Simple Groups, Number 10: Part V, Chapters 9-17: Theorem $C_6$ and Theorem $C^*_4$, Case a: 40 (Mathematical Surveys and Monographs)
96% match

The Classification of the Finite Simple Groups, Number 10: Part V, Chapters 9-17: Theorem $C_6$ and Theorem $C^*_4$, Case a: 40 (Mathematical Surveys and Monographs)

£87.99 10 Jun 2026
Algebraic Groups: Structure and Actions (Proceedings of Symposia in Pure Mathematics)
96% match

Algebraic Groups: Structure and Actions (Proceedings of Symposia in Pure Mathematics)

£94.25 09 May 2026
Cohomology of Groups and Algebraic K-theory (Advanced Lectures in Mathematics)
96% match

Cohomology of Groups and Algebraic K-theory (Advanced Lectures in Mathematics)

£117.48 04 Jul 2026
Harmonic Analysis on Reductive, Sporadic Groups (Contemporary Mathematics)
96% match

Harmonic Analysis on Reductive, Sporadic Groups (Contemporary Mathematics)

£105.00 03 Jul 2026
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Mathematical Surveys and Monographs)
96% match

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Mathematical Surveys and Monographs)

£70.95 03 Jul 2026
Simple Groups of Finite Morley Rank (Mathematical Surveys & Monographs)
96% match

Simple Groups of Finite Morley Rank (Mathematical Surveys & Monographs)

£115.00 26 Jun 2026
From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest
96% match

From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest

Springer

£65.00 16 Jun 2026
Connective Real K-theory of Finite Groups: 169 (Mathematical Surveys and Monographs)
96% match

Connective Real K-theory of Finite Groups: 169 (Mathematical Surveys and Monographs)

£95.50 03 Jul 2026
The Classification of the Finite Simple Groups, Number 3: No. 3 (Mathematical Surveys and Monographs)
96% match

The Classification of the Finite Simple Groups, Number 3: No. 3 (Mathematical Surveys and Monographs)

£88.83 16 Jul 2026
Geometric Invariant Theory: Over the Real and Complex Numbers (Universitext)
96% match

Geometric Invariant Theory: Over the Real and Complex Numbers (Universitext)

Springer

£54.69 08 Jul 2026
Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Memoirs of the American Mathematical Society)
96% match

Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Memoirs of the American Mathematical Society)

£73.00 15 Jul 2026