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math.CO2026
Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications
Thang Pham, Andrea Pinamonti, Dung The Tran +1
Let be an odd prime power. We study Kakeya maximal operators associated with horizontal lines in the finite Heisenberg groups . Our principal object i…
math.CO2025
Sets preserved by a large subgroup of the special linear group
Le Quang Hung, Thang Pham, Kaloyan Slavov
Let be a subset of the affine plane over a finite field . We bound the size of the subgroup of that preserves . As a consequence, we show…
math.CO2024
On the distance problem over finite p-adic rings
Thang Pham, Boqing Xue
In this paper, we study the distance problem in the setting of finite p-adic rings. In odd dimensions, our results are essentially sharp. In even dimensions, we clarify the conject…