[PDF] Top 20 On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups
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On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups
... the homology of a projective cover of residue degree one prime level has first Betti number equal to ...six tetrahedral groups, I have computed approximately 5000 projective covers whose levels are ... See full document
10
On the torsion homology of non-arithmetic hyperbolic tetrahedral groups
... We see that the behaviour is different in the cases of positive first Betti number. Here the ratios “log(torsion)/volume” get much smaller than 1/(6π). This suggests, under the general philosophy of Bergeron and ... See full document
11
Torsion homology growth and cycle complexity of arithmetic manifolds
... ‘enough’ homology. In fact, our result applies to all M , but bounds only the regulator of the ‘base-change part’ of cohomology. One can see (i) as an effectivization of a result of Harder, Langlands and Rapoport ... See full document
50
Hecke operators in KK-theory and the K-homology of Bianchi groups
... are related by a Gysin six-term exact sequence. In the case when Γ is a group of real hyperbolic isometries, we show that this Gysin sequence is Hecke equivariant. Finally, in the case when Γ is a subgroup of a ... See full document
50
Geometrical finiteness for hyperbolic groups
... Let T b e a discrete group. W e have said that the hypothesis that T should possess a finite-sided fundamental polyhedron is m ore restrictive than w e w ould like in dim ension 4 onwards. In S ection 4, we give an exam ... See full document
51
The Lascar groups and the first homology groups in model theory
... the homology group, and we give an explicit description of its ...first homology group of p is independent from the choice of ⌣ | ∗ , and can be written simply as H 1 ... See full document
31
The group of homomorphisms of abelian torsion groups
... A reduced algebraically compact group is called adjusted if it has no torsion free direct summands... A reduced algebraically compact group A is the direct sum of an.[r] ... See full document
12
Complex hyperbolic triangle groups
... TRIANGLE GROUPS WITH TWO ELLIPTIC ELEMENTS We use these sums to give some non-discreteness results for certain types of triangle ...is non discrete is by using the Jørgensen ...a ... See full document
130
Engulfing in word hyperbolic groups
... compact hyperbolic 3-manifold with non-empty bound- ary along an incompressible subsurface of the ...sub- groups are closed in the profinite ...closed hyperbolic 3-manifolds with fundamental ... See full document
13
Assembling homology classes in automorphism groups of free groups
... In the Leray-Serre spectral sequence associated to this short exact sequence we note that all dif- ferentials are zero, allowing us to completely calculate the homology. (Actually, for convenience we use ... See full document
45
Construction of Arithmetic Secret Sharing Schemes by Using Torsion Limits
... of arithmetic secret sharing schemes are improved by using bounds on class number ...the torsion limit of an important class of towers of function fields [2] depending on the Ihara ...of torsion ... See full document
17
Traces in Complex Hyperbolic Triangle Groups
... of infinite order are not regular elliptic. Here the traces come in, namely, an ele- ment of SU(2, 1) is not regular elliptic if and only if the value of certain discriminant function (introduced by W. Goldman) on the ... See full document
23
Conjugacy and subgroups of word hyperbolic groups
... The ideas used here closely relate to the ideas in [8], in which Epstein and Holt show that the conjugacy problem for single elements in a word-hyperbolic group can be solved in linear time if one assumes a RAM ... See full document
133
Compressed decision problems in hyperbolic groups
... Straight-line programs (SLPs) are a widely-used compression technique for words. An SLP can be seen as a context-free grammar G that produces a single word denoted val(G); see Section 4 for a precise definition. The size ... See full document
16
Relatively hyperbolic groups are C* simple
... proper hyperbolic metric space X so that the induced action of G on ∂X is geometrically finite, then G is hyperbolic relative to the collection of maximal parabolic subgroups ...[4]. Groups acting on ... See full document
7
Euler class groups and the homology of elementary and special linear groups
... In this paper we prove Bass’ conjecture for rings with many units. Recall [NS89] that a ring A (always associative with unit) has many units if for every integer n ≥ 1 there is a family of n central elements of A such ... See full document
66
The generalised word problem in hyperbolic and relatively hyperbolic groups
... a hyperbolic group, and H a quasiconvex, almost malnormal subgroup of G, then GWP(G, H) is a real-time ...a hyperbolic group G = hX ...is hyperbolic relative to {H} so we can apply the results of ... See full document
24
Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)
... complex hyperbolic triangle group of type (m, m, ∞ ), ...complex hyperbolic plane, generated by complex reflections in three complex geodesics meeting at angles π/m, π/m and 0, is not discrete if the ... See full document
5
On residualizing homomorphisms preserving quasiconvexity
... Case 2. For every g ∈ G g ◦ Ω contains no non-empty open subsets of Λ(H). Ω is a closed subset of the boundary ∂G by lemma 2.13.(b), thus g ◦ Ω is also closed and, hence, ¡ g ◦Ω ¢ ∩Λ(H ) is a closed nowhere dense ... See full document
42
Torsion homology and regulators of isospectral manifolds
... more arithmetic flavour. In [10], Calegari and Venkatesh study torsion homology in pairs of manifolds that are of a similar nature to the examples of Vign´ eras, called “Jacquet–Langlands pairs”, ... See full document
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