4 papers · 1 filter
Slice and Partition Rank Criteria for Polynomial Zero-Avoidance
Simone Costa, Stefano Della Fiore, Mattia Fontana
We study polynomial zero-avoidance over finite vector spaces by means of slice rank and partition rank. We first make the support-entropy method effective by showing how a finite d…
Graham's rearrangement for a class of semidirect products
Simone Costa, Stefano Della Fiore, Eva R. Engel
A famous conjecture of Graham asserts that every set can be ordered so that all partial sums are distinct. Bedert and Kravitz proved that…
Orthogonal and oriented Fano planes, triangular embeddings of and geometrical representations of the Frobenius group
Simone Costa, Marco Pavone
In this paper we present some geometrical representations of the Frobenius group of order (henceforth, ). The main focus is on investigating the group of common automo…
Weak Freiman isomorphisms and sequencings of small sets
Simone Costa, Stefano Della Fiore
In this paper, we introduce a weakening of the Freiman isomorphisms between subsets of non necessarily abelian groups. Inspired by the breakthrough result of Kravitz, [14], on cycl…