On product-one sequences with congruence conditions over non-abelian groups

On product-one sequences with congruence conditions over non-abelian groups
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DOI:
10.1016/j.jnt.2021.08.011
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发表时间:
2021-10
影响因子:
0.7
通讯作者:
K. Zhao;Qinghai Zhong
K. Zhao;Qinghai Zhong
中科院分区:
数学3区
文献类型:
--
作者:
K. Zhao;Qinghai Zhong

文献摘要

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Let G be a finite group. For a positive integer d, let s d N (G) denote the smallest integer ℓ such that every sequence S over G of length| S|≥ ℓ has a nonempty product-one subsequence T with| T|≡ 0 (mod d). In this paper, we mainly study this invariant for dihedral groups D 2 n and metacyclic groups C p⋉ s C q.