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Titlebook: Combinatorial Methods in Topology and Algebra; Bruno Benedetti,Emanuele Delucchi,Luca Moci Book 2015 Springer International Publishing Swi

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Random Triangular Groupsore interesting, we show that there exist constants .′, .′ > 0 such that if ., then a.a.s. a random group . is neither free, nor has Kazhdan’s property (T). We prove the above statements using random graphs and random hypergraphs.
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Generalized Involution Models of Projective Reflection Groupstside a finite list of exceptional cases. Building on prior work, this allows us to prove that .(., ., 1, .) has a generalized involution model if and only if .. We also classify which groups .(., ., ., .) have generalized involution models when . = 2, or . is odd, or . is odd.
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Book 2015on theory..The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference..
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On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopescit solution to this interpolation problem in terms of truncations of the Todd operator. As a corollary we obtain a slight generalisation of the Khovanskii-Pukhlikov formula that relates the volume and the number of lattice points in a smooth lattice polytope.
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Norberto Patrignani,Diane Whitehouseations holding for matroids (e.g., duality), and we explicitly describe the structure of the matroids over .. Furthermore, we compute the Tutte-Grothendieck ring of matroids over .. We also show that the Tutte quasi-polynomial of a matroid over . can be obtained as an evaluation of the class of the matroid in the Tutte-Grothendieck ring.
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