April 17, 2024Open Access

A note on weighted consecutive Davenport constant

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

Let G be a group and A 1, (G) -1. We define the constant CA (G), which is the least positive integer such that every sequence over G of length at least has an A-weighted consecutive product-one subsequence. In this paper, among other things, we prove that CA (Cₙ²) =4 with A=1, n-1, and C (H K) =|H||K|, where H is a finite abelian group and K is a metacyclic group.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo

Cite This Study

Lemos et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6ecccb6db643587667db7 https://doi.org/https://doi.org/10.48550/arxiv.2404.11312

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Davenport constant for finite abelian groups with higher rank2024
2A classification of finite groups with small Davenport constant2024
3An algebraic approach towards a conjecture on the Davenport constant2024
4Davenport constant and its variants for some non-abelian groups2024
5On zero-sum subsequences in a finite abelian group of length not exceeding a given number2025

Me gusta

Guardar

Ver artículo completo