Zero-sum partitions of Abelian groups of order $2^n$

The following problem has been known since the 80's. Let $\Gamma$ be an Abelian group of order $m$ (denoted $|\Gamma|=m$), and let $t$ and $m_i$, $1 \leq i \leq t$, be positive integers such that $\sum_{i=1}^t m_i=m-1$. Determine when $\Gamma^*=\Gamma\setminus\{0\}$, the set of non-zero element...

Full description

Saved in:
Bibliographic Details
Main Authors: Sylwia Cichacz, Karol Suchan
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2023-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/9914/pdf
Tags: Add Tag
No Tags, Be the first to tag this record!