We study a variant of the Erdős–Falconer distance problem in the setting of finite fields. More
precisely, let E and F be sets in F _q^ d F qd, and Δ (E), Δ (F) Δ (E), Δ (F) be corresponding …

In this note, we use methods from spectral graph theory to obtain bounds on the number of
incidences between $ k $-planes and $ h $-planes in $\mathbb {F} _q^ d $, which …

The first purpose of this paper is to solve completely the finite field cone restriction
conjecture in four dimensions with non-square. The second is to introduce a new approach …

Erdos–Rényi graph, Szemerédi–Trotter type theorem, and sum-product estimates over finite
rings Page 1 Forum Math. 27 (2015), 331 – 342 DOI 10.1515 / forum-2011-0161 Forum …

A structure result for bricks in Heisenberg groups - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

Let F (x, y, z)= xy+ z F (x, y, z)= xy+ z. We consider some properties of expansion of the
polynomial F in different settings, namely in the integers and in prime fields. The main results …

Some remarks on products of sets in the Heisenberg group and in the affine group Skip to
content Should you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ …

An irreducible character χ of a finite group G is called a Heisenberg character if Ker χ⊇[G,[G,
G]]. In this paper, we prove that the group G has exactly r, r≤ 3, Heisenberg characters if and …

In this paper, we give strong lower bounds on the size of the sets of products of matrices in
some certain groups. More precisely, we prove an analogue of a result due to Chapman and …

On a theorem of Hegyvári and Hennecart Page 1 Pacific Journal of Mathematics ON A
THEOREM OF HEGYVÁRI AND HENNECART DAO NGUYEN VAN ANH, LE QUANG HAM …