E. Ahmed

activity

20012018

most citedAn Overview of Complex Adaptive Systems

43 citations · 84 across the 14 of their papers we have counts for

collaborators

Showing math.GRShow all

2 papers · 1 filter

math.GR2018

The lamplighter group of rank two generated by a bireversible automaton

Elsayed Ahmed, Dmytro Savchuk

We construct a 4-state 2-letter bireversible automaton generating the lamplighter group $(Z_{2}^{2}) ≀ Z$ of rank two. The action of the generators on the boundary of t…

math.GR2017★ 1 cited

Endomorphisms of regular rooted trees induced by the action of polynomials on the ring $Z_{d}$ of $d$ -adic integers

Elsayed Ahmed, Dmytro Savchuk

We show that every polynomial in $Z [x]$ defines an endomorphism of the $d$ -ary rooted tree induced by its action on the ring $Z_{d}$ of $d$ -adic integers. The section…

The lamplighter group of rank two generated by a bireversible automaton

Endomorphisms of regular rooted trees induced by the action of polynomials on the ring Zd​ of d-adic integers

Endomorphisms of regular rooted trees induced by the action of polynomials on the ring $Z_{d}$ of $d$ -adic integers