6 papers
Numerical groups
María Teresa Lozano, José María Montesinos-Amilibia
A group of matrices with entries in a number field is defined to be numerical if has a finite index subgroup of matrices whose entries are algebraic integers. It is sho…
On continuous families of geometric Seifert conemanifold structures
María Teresa Lozano, José María Montesinos-Amilibia
We determine the Thurston's geometry possesed by any Seifert fibered conemanifold structure in a Seifert manifold with orbit space and no more than three exceptional fibres,…
Geometric conemanifold structures on , the result of surgery in the left-handed trefoil knot
María Teresa Lozano, José María Montesinos-Amilibia
As an example of the transitions between some of the eight geometries of Thurston, investigated before, we study the geometries supported by the cone-manifolds obtained by surgery…
On the affine representations of the trefoil knot group
Hugh M. Hilden, Maria Teresa Lozano, Jose Maria Montesinos-Amilibia
The complete classification of representations of the Trefoil knot group G in S^{3} and SL(2,R), their affine deformations, and some geometric interpretations of the results, are g…
On representations of 2-bridge knot groups in quaternion algebras
Hugh M. Hilden, Maria Teresa Lozano, Jose Maria Montesinos-Amilibia
Representations of two bridge knot groups in the isometry group of some complete Riemannian 3-manifolds as (Euclidean 3-space), (hyperbolic 3-space) and …
On finite index subgroups of a universal group
G. Brumfiel, H. Hilden, M. T. Lozano +5
The orbifold group of the Borromean rings with singular angle 90 degrees, , is a universal group, because every closed oriented 3--manifold occurs as a quotient space $M…