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By Korchmaros G.

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In [16, Theorem 27] it is proven that Bn (RP2 ) fits in an exact sequence 1 → Λn → Bn (RP2 ) → Q8 → 1 where Λn is SPF, for all n > 3. 7. 5 The full braid groups FBn (RP2 ) satisfy FIC for all n > 0. 42 D. J. Sánchez Saldaña Proof In [17] it is proven that FB1 (RP2 ) = Z2 and FB2 (RP2 ) is isomorphic to a dicyclic group of order 16. Hence FB1 (RP2 ) and FB2 (RP2 ) satisfy FIC because they are finite. In [16] Theorem 29 it is proven that FBn (RP2 ) fits in an exact sequence 1 → Sn → FBn (RP2 ) → FBn (RP2 )/S → 1 where Sn is a normal SPF subgroup of FBn (RP2 ) with finite index, for all n > 2.

Math. Soc. 140(3), 779–793 (2012) 46. : The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Invent. Math. T. E. Jones for braid groups on a surface. 1 Introduction Aravinda, Farrell, and Roushon in [1] showed that the Whitehead group of the classical pure braid groups vanishes. Later on, in [10], Farrell and Roushon extended this result to the full braid groups. Computations of the Whitehead group of braid groups for the sphere and the projective space were performed by D.

An (α, ε)-Version of the Assumptions of Theorem B Let G be a group. 2 An N -flow space FS for G is a metric space with a continuous flow φ : FS×R → FS and an isometric proper action of G such that (a) the flow is G-equivariant: φt (gx) = gφt (x) for all x ∈ X , t ∈ R and g ∈ G; (b) FS \ {x | φt (x) = x for all t ∈ R} is locally connected and has covering dimension at most N . 1 Let α, ε ≥ 0. For x, y ∈ FS we write fol dFS (x, y) ≤ (α, ε) if there is t ∈ [−α, α] such that d(φt (x), y) ≤ ε. Of course, ε will usually be a small number while α will often be much larger.

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2-transitive abstract ovals of odd order by Korchmaros G.


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