Properties and Calculations of Constructive Orderings of ℤ/nℤ

  • Zackary Baker The King's University

Abstract

sequencing of a finite group G of order n is a sequence g1,g2,g3,...gn of the elements of G whose set of partial products {g1g2...gi | 1 ≤ n} contains every element of the group G. In this paper, we study this in the particular case of additive groups modulo n, replacing the partial products with partial sums. We make and prove several observations about these sequencings, and calculate how many there are for n≤16.

Published
2019-03-26
How to Cite
BAKER, Zackary. Properties and Calculations of Constructive Orderings of ℤ/nℤ. Minnesota Journal of Undergraduate Mathematics, [S.l.], v. 4, n. 1, mar. 2019. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/82>. Date accessed: 20 oct. 2020.
Section
Articles