On product-one sequences over dihedral groups

DOI10.1142/S0219498822500645zbMath1493.13003arXiv1910.12484OpenAlexW3108342585MaRDI QIDQ5065652

Qinghai Zhong, Alfred Geroldinger, Jun-Seok Oh, David J. Grynkiewicz

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12484

zbMATH Keywords

finite groupsDavenport constantsets of lengthspartition theoremsets of distancesproduct-one sequencessets of catenary degrees

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other combinatorial number theory (11B75) Sequences (mod (m)) (11B50) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ On product-one sequences over subsets of groups ⋮ On zero-sum free sequences contained in random subsets of finite cyclic groups ⋮ On the direct and inverse zero-sum problems over \(C_n \rtimes_s C_2\) ⋮ On the class semigroup of root-closed weakly Krull Mori monoids ⋮ On the invariant $\mathsf E(G)$ for groups of odd order

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