التفاصيل البيبلوغرافية
| العنوان: |
Rank of matrices with entries from a multiplicative group |
| المؤلفون: |
Alon, Noga, Solymosi, Jozsef |
| سنة النشر: |
2021 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Combinatorics, Mathematics - Number Theory |
| الوصف: |
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 $\mathbb{R}^d$ generate high rank multiplicative groups and that multiplicative groups of small rank cannot contain large sumsets. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2109.00618 |
| رقم الانضمام: |
edsarx.2109.00618 |
| قاعدة البيانات: |
arXiv |