Stallings automata for free-times-abelian groups: intersections and index

Finite Automata Presentable Abelian Groups

We give new examples of FA presentable torsion-free abelian groups. Namely, for every n > 2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation. We also construct an FA presentation of the group (Z,+) in which every nontrivial cyclic subgroup is not FA recognizable.

non-divisibility for abelian groups

Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting   all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...

Intuitionistic Free Abelian Groups

Intersections and joins of free groups

Let F be a free group. If H and K are subgroups of F , we let H ∨K = 〈H,K〉 denote the join of H and K. We study the relationship between the rank of H ∩K and that of H ∨K for a pair of finitely generated subgroups H and K of F . In particular, we have the following particular case of the Hanna Neumann Conjecture, which has also been obtained by L. Louder [6] using his machinery for folding grap...

Vehicle index estimation for signalized intersections using sample travel times

0968-090X/$ see front matter 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.trc.2013.06.018 q This paper was presented at the 20th International Symposium on Transportation & Traffic Theory. It therefore also appears in the complete pro of the 20th ISTTT in [Procedia – Social and Behavioral Sciences, vol. 80C (2013), pp. 473–490]. ⇑ Corresponding author. Tel.: +1 518 276 80...