Zobrazeno 1 - 10
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pro vyhledávání: '"Warren Dicks"'
Autor:
Warren Dicks, Oriol Serra
Publikováno v:
European Journal of Combinatorics. 34:1326-1330
We report on what we call the Hamidoune problem, inspired by a problem by Dicks and Ivanov. The problem asks if the inequality | A | + | B | - 1 2 | A B | - 1 2 | A ? 2 B | ≤ max { 2 , | g H | : H ≤ G , g ? G , g H ? A ? 2 B } holds when A and B
Autor:
Warren Dicks, Makoto Sakuma
Publikováno v:
Topology and its Applications. 157(12):1873-1899
To each once-punctured-torus bundle, $T_\phi$, over the circle with pseudo-Anosov monodromy $\phi$, there are associated two tessellations of the complex plane: one, $\Delta(\phi)$, is (the projection from $\infty$ of) the triangulation of a horosphe
Autor:
Peter A. Linnell, Warren Dicks
Publikováno v:
Mathematische Annalen. 337:855-874
We determine the L^2-Betti numbers of all one-relator groups and all surface-plus-one-relation groups (surface-plus-one-relation groups were introduced by Hempel who called them one-relator surface groups). In particular we show that for all such gro
Autor:
Warren Dicks, Laura Ciobanu
Publikováno v:
Journal of Algebra. 305(1):540-547
Let F be a free group, and let H be a subgroup of F. The ‘Galois monoid’ End H ( F ) consists of all endomorphisms of F which fix every element of H; the ‘Galois group’ Aut H ( F ) consists of all automorphisms of F which fix every element of
Autor:
James W. Cannon, Warren Dicks
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
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We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations.
Publikováno v:
Communications in Algebra. 32:1127-1149
Let G be a locally indicable group, K a division ring, and KG a crossed-product group ring. In 1961, Ian Hughes proved that, up to KG-isomorphism, at most one division ring of fractions of KG satisfies a certain independence condition, now called Hug
Autor:
James W. Cannon, Warren Dicks
Publikováno v:
Geometriae Dedicata. 94:141-183
For a hyperbolic once-punctured-torus bundle over a circle, a choice of normalization determines a family of arcs in the Riemann sphere. We show that, in each arc in the family, the set of cusps is dense and forms a single orbit of a finitely generat
Autor:
Warren Dicks, Thomas Schick
Publikováno v:
Geometriae Dedicata. 93:121-137
We use elementary methods to compute the L2-dimension of the eigenspaces of the Markov operator on the lamplighter group and of generalizations of this operator on other groups. In particular, we give a transparent explanation of the spectral measure
Autor:
Warren Dicks, M. J. Dunwoody
Publikováno v:
Journal of Algebra. 216:20-39
Let G and M be groups, and a , b : G → G ∗ M group-theoretic sections of the natural projection G ∗ M → G . We use the Almost Stability Theorem, pro-trees, and new folding sequence techniques to show that if G is finitely generated, then the
Publikováno v:
Scopus-Elsevier
We give an elementary proof of the Cannon–Thurston Theorem in the case of the Gieseking manifold. We do not use Thurston's structure theory for Kleinian groups but simply calculate with two-by-two complex matrices. We work entirely on the boundary,