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Presentations of Racks

Selçuk Kayacan

Abstract

Presentations of racks is studied and a cryptographic protocol defined on racks is proposed.

Presentations of Racks

Abstract

Presentations of racks is studied and a cryptographic protocol defined on racks is proposed.

Paper Structure

This paper contains 6 theorems, 7 equations, 1 figure.

Key Result

Theorem 1

Let $X=\langle A\mid R \rangle_{\mathrm{rk}}$ be a finitely presented rack. Then $\langle A\mid R\rangle$ is a finite presentation for the group $\mathrm{Env}(X)$.

Figures (1)

  • Figure :

Theorems & Definitions (7)

  • Theorem 1: see FR92
  • Proposition 2: see AG03
  • Theorem 3
  • Lemma 4: see AG03
  • Proposition 5: see AG03
  • Theorem 6: see AG03
  • Example