Regular parallelisms on $\mathrm{PG}(3,\mathbb R)$ admitting a 2-torus action

On dihedrants admitting arc-regular group actions

We consider Cayley graphs Γ over dihedral groups, dihedrants for short, which admit an automorphism group G acting regularly on the arc set of Γ . We prove that, if D2n ≤G≤ Aut(Γ ) is a regular dihedral subgroup of G of order 2n such that any of its index 2 cyclic subgroups is core-free in G, then Γ belongs to the family of graphs of the form (Kn1 ⊗ · · · ⊗Kn )[Kc m], where 2n= n1 · · ·n m, and...

Enumeration of r-regular Maps on the Torus. Part II: Enumeration of Unsensed Maps

ON r-REGULAR CONVERGENCE

In his paper On sequences and limiting sets [ l ] , 1 G. T. Whyburn introduced the notion of regular convergence. He showed that in the cases of 0 and 1 regular convergence (see definition below) that the limit of sequences of many simple topological sets is of the same type as the members of the sequence. I t is the purpose of this paper to extend some of these results to higher dimensions. Th...

2 00 8 Torus quotients of homogeneous spaces - minimal dimensional Schubert Varieties admitting semi - stable points

In this paper, for any simple, simply connected algebraic group G of type B n , C n or D n and for any maximal parabolic subgroup P of G, we describe all minimal dimensional Schubert varieties in G/P admitting semistable points for the action of a maximal torus T with respect to an ample line bundle on G/P. In this paper, we also describe, for any semi-simple simply connected algebraic group G ...

Regular Analytic Transformations of R 2

1. Introduction We deene the notion of a loop and use it to derive properties of non