arXiv subjects
Publications and source records attributed to Jordan Sahattchieve.
In this paper we analyze the action of a quasiconvex subgroup of F_m x Z^n on the convex hull of its orbit and we show that this action is cocompact. Further, using our techniques, we obtain complete description of the quasiconvex subgroups of F_m x Z^n.
In this paper, we show that any subgroup of a semidirect product of Z^n with Z has bounded packing as long as the action of Z on Z^n is by diagonalizable automorphisms all of whose eigenvalues are real. We use this result to show that any subgroup in a polycyclic group of length 3 or less has bounded packing. We also introduce the notion of coset growth and obtain a bound for the coset growth of subgroup H= in the semidirect product of Z^2 with Z.