# On product-one sequences over dihedral groups

@article{Geroldinger2020OnPS,
title={On product-one sequences over dihedral groups},
author={Alfred Geroldinger and David J. Grynkiewicz and Jun Seok Oh and Qinghai Zhong},
journal={Journal of Algebra and Its Applications},
year={2020}
}
Let [Formula: see text] be a finite group. A sequence over [Formula: see text] means a finite sequence of terms from [Formula: see text], where repetition is allowed and the order is disregarded. A product-one sequence is a sequence whose elements can be ordered such that their product equals the identity element of the group. The set of all product-one sequences over [Formula: see text] (with the concatenation of sequences as the operation) is a finitely generated C-monoid. Product-one… Expand
3 Citations
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Let G be a multiplicatively written finite group. We denote by E(G) the smallest integer t such that every sequence of t elements in G contains a product-one subsequence of length |G|. In 1961,Expand
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