Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.
Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
Dihedral-like constructions of automorphic loops
Automorphic loops are loops in which all inner mappings are automorphisms. We study a generalization of the dihedral construction for groups. Namely, if is an abelian group, and , let be defined on by The resulting loop is automorphic if and only if or ( and is even). The case was introduced by Kinyon, Kunen, Phillips, and Vojtěchovský. We present several structural results about the automorphic dihedral loops in both cases.
Dimension in rings with solvable algebraic group action.
Dimension sugroups of metabelian groups.
Dimension theory and nonstable -theory for net groups
Dimension theory for cyclically and cocyclically ordered sets
Dimensions conformes, espaces Gromov-hyperboliques et ensembles autosimilaires
Dimensions of some affine Deligne–Lusztig varieties
Diophantine geometry over groups I : Makanin-Razborov diagrams
This paper is the first in a sequence on the structure of sets of solutions to systems of equations in a free group, projections of such sets, and the structure of elementary sets defined over a free group. In the first paper we present the (canonical) Makanin-Razborov diagram that encodes the set of solutions of a system of equations. We continue by studying parametric families of sets of solutions, and associate with such a family a canonical graded Makanin-Razborov diagram, that encodes the collection...
Dirac monopole derived from representation theory
Direct decomposability of tolerances and congruences on semigroups
Direct decompositions and basic subgroups in commutative group rings
An attractive interplay between the direct decompositions and the explicit form of basic subgroups in group rings of abelian groups over a commutative unitary ring are established. In particular, as a consequence, we give a simpler confirmation of a more general version of our recent result in this aspect published in Czechoslovak Math. J. (2006).
Direct Decompositions of Finitely Generated Torsion-Free Nilpotent Groups.
Direct decompositions of uniform groups
Uniform groups are extensions of rigid completely decomposable groups by a finite direct sum of cyclic primary groups all of the same order. The direct decompositions of uniform groups are completely determined by an algorithm that is realised by a MAPLE procedure.
Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups
Direct limits of cyclically ordered groups
Direct products of cyclic semigroups admitting a planar Cayley graph.
Direct products of cyclic semigroups and unions of groups.
Direct products with isomorphic lattices