4 papers
math.GR2026
Subrack lattices of finite solvable and metacyclic groups
Selçuk Kayacan
A group with conjugation operation is a rack. We call such racks \emph{group racks}. In this paper we study finite group racks via their subrack lattices. Heckenberger, Sharesh…
math.AT2026
Persistent Homology via Finite Topological Spaces
Selçuk Kayacan
We propose a functorial framework for persistent homology based on finite topological spaces and their associated posets. Starting from a finite metric space, we associate a filtra…
cs.CR2025
Presentations of Racks
Selçuk Kayacan
Presentations of racks is studied and a cryptographic protocol defined on racks is proposed.
math.GR2024
Subrack Lattices of Conjugation Racks
Selçuk Kayacan
A rack is a set with a binary operation such that left multiplications are automorphisms of the set and a quandle is a rack satisfying a certain condition. Let be a subset of a…