3 papers
math.GR2019
On the Cycle Structure of Finite Racks and Quandles
Naqeeb ur Rehman
We provide obstructions on the cycle structure of inner automorphisms of finite indecomposable racks and quandles and verify some cases of a conjecture by C. Hayashi.
math.GR2019
Hurwitz Orbits with a Cellular Automaton
Naqeeb ur Rehman
Hurwitz orbits are the orbits of the braid group action on the powers of a rack. Hurwitz orbits for the action of the braid group on three strands are used in \cite{21} and \cite{2…
math.GR2018
Cellular Automata on Racks
Naqeeb ur Rehman, Muhammad Khuram Shahzad
In this paper we initiate the study of cellular automata on racks. A rack is a set with a self-distributive binary operation. The rack acts on the set of configuratio…