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Band 176

Tree Lattices

Aus der Reihe Progress in Mathematics

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.09.2011

Abbildungen

XIII, 233 p.

Verlag

Birkhäuser Boston

Seitenzahl

233

Maße (L/B/H)

23.5/15.5/1.4 cm

Gewicht

388 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-7413-1

Beschreibung

Rezension

"The book is a helpful resource to researchers in the field and students of geometric methods in group theory."


--Educational Book Review

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.09.2011

Abbildungen

XIII, 233 p.

Verlag

Birkhäuser Boston

Seitenzahl

233

Maße (L/B/H)

23.5/15.5/1.4 cm

Gewicht

388 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-7413-1

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: Tree Lattices
  • Produktbild: Tree Lattices
  • 0 Introduction.- 0.1 Tree lattices.- 0.2 X-lattices and H-lattices.- 0.3 Near simplicity.- 0.4 The structure of tree lattices.- 0.5 Existence of lattices.- 0.6 The structure of A = ?\X.- 0.7 Volumes.- 0.8 Centralizers, normalizers, commensurators.- 1 Lattices and Volumes.- 1.1 Haar measure.- 1.2 Lattices and unimodularity.- 1.3 Compact open subgroups.- 1.5 Discrete group covolumes.- 2 Graphs of Groups and Edge-Indexed Graphs.- 2.1 Graphs.- 2.2 Morphisms and actions.- 2.3 Graphs of groups.- 2.4 Quotient graphs of groups.- 2.5 Edge-indexed graphs and their groupings.- 2.6 Unimodularity, volumes, bounded denominators.- 3 Tree Lattices.- 3.1 Topology on G = AutX.- 3.2 Tree lattices.- 3.3 The group GH of deck transformations.- 3.5 Discreteness Criterion; Rigidity of (A, i).- 3.6 Unimodularity and volume.- 3.8 Existence of tree lattices.- 3.12 The structure of tree lattices.- 3.14 Non-arithmetic uniform commensurators.- 4 Arbitrary Real Volumes, Cusps, and Homology.- 4.0 Introduction.- 4.1 Grafting.- 4.2 Volumes.- 4.8 Cusps.- 4.9 Geometric parabolic ends.- 4.10 ?-parabolic ends and ?-cusps.- 4.11 Unidirectional examples.- 4.12 A planar example.- 5 Length Functions, Minimality.- 5.1 Hyperbolic length (cf. [B3], II, §6).- 5.4 Minimality.- 5.14 Abelian actions.- 5.15 Non-abelian actions.- 5.16 Abelian discrete actions.- 6 Centralizers, Normalizers, and Commensurators.- 6.0 Introduction.- 6.1 Notation.- 6.6 Non-minimal centralizers.- 6.9 N/?, for minimal non-abelian actions.- 6.10 Some normal subgroups.- 6.11 The Tits Independence Condition.- 6.13 Remarks.- 6.16 Automorphism groups of rooted trees.- 6.17 Automorphism groups of ended trees.- 6.21 Remarks.- 7 Existence of Tree Lattices.- 7.1 Introduction.- 7.2 Open fanning.- 7.5 Multiple open fanning.- 8 Non-Uniform Latticeson Uniform Trees.- 8.1 Carbone’s Theorem.- 8.6 Proof of Theorem (8.2).- 8.7 Remarks.- 8.8 Examples. Loops and cages.- 8.9 Two vertex graphs.- 9 Parabolic Actions, Lattices, and Trees.- 9.0 Introduction.- 9.1 Ends(X).- 9.2 Horospheres and horoballs.- 9.3 End stabilizers.- 9.4 Parabolic actions.- 9.5 Parabolic trees.- 9.6 Parabolic lattices.- 9.8 Restriction to horoballs.- 9.9 Parabolic lattices with linear quotient.- 9.10 Parabolic ray lattices.- 9.13 Parabolic lattices with all horospheres infinite.- 9.14 A bounded degree example.- 9.15 Tree lattices that are simple groups must be parabolic.- 9.16 Lattices on a product of two trees.- 10 Lattices of Nagao Type.- 10.1 Nagao rays.- 10.2 Nagao’s Theorem: r = PGL2(Fq[t]).- 10.3 A divisible (q + l)-regular grouping.- 10.4 The PNeumann groupings.- 10.5 The symmetric groupings.- 10.6 Product groupings.