Abstract
We establish lower bounds on the rank of matrices in which all but the diagonal entries lie in a multiplicative group of small rank. Applying these bounds we show that the distance sets of finite pointsets in generate high-rank multiplicative groups and that multiplicative groups of small rank cannot contain large sumsets.
Original language | English (US) |
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Pages (from-to) | 12383-12399 |
Number of pages | 17 |
Journal | International Mathematics Research Notices |
Volume | 2023 |
Issue number | 14 |
DOIs | |
State | Published - Jul 1 2023 |
All Science Journal Classification (ASJC) codes
- General Mathematics