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Hyperbolic group
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1	GENERAL LOGARITHMS AND HYPERBOLIC FUNCTIONS 5 minute review. Remind students • what loga x is for general a > 0 (where a 6= 1): that is, loga x is the power of a needed to make x, and that ln = loge ; • the definiti Add to Reading List Source URL: engmaths.group.shef.ac.uk - Date: 2017-10-12 08:23:03
2	FURTHER INTEGRATION 5 minute review. Remind students that hyperbolic R dxsubstitutions can Rsolvedxintegrals (x = sinh u), √x2 −1 (x = which trigonometric substitutions can’t, such as √1+x 2 Add to Reading List Source URL: engmaths.group.shef.ac.uk - Date: 2017-08-24 06:17:44
3	MAS140Formula Sheet These results may be quoted without proof unless proofs are asked for in the questions. Trigonometry Hyperbolic Functions Add to Reading List Source URL: engmaths.group.shef.ac.uk - Date: 2017-08-24 06:17:44
4	FURTHER INTEGRATION 5 minute review. Remind students that hyperbolic R dxsubstitutions can Rsolvedxintegrals (x = sinh u), √x2 −1 (x = which trigonometric substitutions can’t, such as √1+x 2 Add to Reading List Source URL: engmaths.group.shef.ac.uk - Date: 2017-02-22 10:20:17
5	arXiv:1007.0845v3 [math.KT] 15 MayOn the K- and L-theory of hyperbolic and virtually finitely generated abelian groups Wolfgang L¨ uck∗ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2012-05-16 02:27:08 Algebra Abstract algebra Geometry Hyperbolic geometry Homological algebra Geometric group theory Algebraic number theory Combinatorics on words Abelian group Hyperbolic group Fuchsian group FarrellJones conjecture
6	APPROXIMATING THE FIRST L2 -BETTI NUMBER OF RESIDUALLY FINITE GROUPS arXiv:1011.4739v2 [math.GR] 16 Dec 2010 ¨ Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2016-01-10 05:46:25 Geometry Mathematics Algebra Group theory Combinatorics on words Infinite group theory Geometric group theory Topological groups Residually finite group Hyperbolic group Betti number Generating set of a group
7	WAVE 0-TRACE AND LENGTH SPECTRUM ON CONVEX CO-COMPACT HYPERBOLIC MANIFOLDS ´ ERIC ´ COLIN GUILLARMOU AND FRED NAUD Add to Reading List Source URL: fredericnaud.perso.sfr.fr Language: English - Date: 2005-07-25 18:34:38 Geometry Mathematical analysis Mathematics Riemann surfaces Hyperbolic geometry Differential geometry Kleinian groups Harmonic functions Differential geometry of surfaces Limit set Fuchsian group Prime geodesic
8	COMMENTS ON “CONFORMAL AND QUASICONFORMAL CATEGORICAL REPRESENTATION OF HYPERBOLIC RIEMANN SURFACES” Shinichi Mochizuki December 2015 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-12-01 15:44:58 Topology Mathematics Homotopy theory Algebraic topology Abstract algebra Fundamental group Covering space Countable set
9	Publ. RIMS, Kyoto Univ), 661–744 Absolute Anabelian Cuspidalizations of Configuration Spaces of Proper Hyperbolic Curves over Finite Fields Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2009-08-17 21:07:24 Algebra Abstract algebra Mathematics Algebraic geometry Scheme theory Algebraic varieties Isomorphism Morphisms Group action tale morphism Log structure Divisor
10	The Arithmetic of Kleinian Groups December 1, Course Description Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2015-12-04 19:21:55 Geometry Space Mathematics Hyperbolic geometry 3-manifolds Kleinian groups Riemannian manifolds Number theory Arithmetic hyperbolic 3-manifold Fuchsian group Trace field of a representation Hyperbolic 3-manifold