A polynomial time algorithm for the conjugacy problem in Zn o Z

Authors

  • Bren Cavallo CUNY Graduate Center, New York
  • Delaram Kahrobaei CUNY Graduate Center New York

Keywords:

Conjugacy problem, semidirect product, MSC (2010), Primary 20F10, Secondary 20E06.

Abstract

In this paper we introduce a polynomial time algorithm that solves both the conjugacy decision and search problems in free abelian-by-innite cyclic groups where the input is elements in normal form. We do this by adapting the work of Bogopolski, Martino, Maslakova, and Ventura in [1] and Bogopolski, Martino, and Ventura in [2], to free abelian-by-innite cyclic groups, and in certain cases apply a polynomial time algorithm for the orbit problem over Zn by Kannan and Lipton [7].

Keywords: Conjugacy problem, semidirect product. MSC (2010): Primary 20F10, Secondary 20E06.

Author Biography

Bren Cavallo, CUNY Graduate Center, New York




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How to Cite

Cavallo, B., & Kahrobaei, D. (2014). A polynomial time algorithm for the conjugacy problem in Zn o Z. Reports@SCM, 1(1), 55–60. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/124908

Issue

Vol. 1 No. 1 (2014)

Section

Articles

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