Unique sums and differences in finite Abelian groups

• Main Authors: Leung, Ka Hin, Schmidt, Bernhard
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2022
• 主題: Science::Mathematics; Finite Abelian Groups; Sumsets
• 在線閱讀: https://hdl.handle.net/10356/159769
• 機構: Nanyang Technological University

Let A,B be subsets of a finite abelian group G. Suppose that A+B does not contain a unique sum, i.e., there is no g∈G with a unique representation g=a+b, a∈A, b∈B. From such sets A,B, sparse linear systems over the rational numbers arise. We obtain a new determinant bound on invertible submatrices o...