Nico Lorenz

activity

20242026

collaborators

3 papers

math.NT2026

A cohomological invariant for algebras of degree 8 and exponent 2 in characteristic 2

Ahmed Laghribi, Nico Lorenz

Our aim in this paper is to extend a work of Sivatski to characteristic 2. More precisely, for $F$ a field of characteristic $2$ and a central simple algebra $A$ of exponent 2 that…

math.NT2025

Diameter and Girth of Representation Graphs of Quadratic Forms

Nico Lorenz, Marc Christian Zimmermann

Let $q$ be a non-degenerate quadratic form defined on an $F$ vector space $V$ and $a \in F$ . We consider the Cayley graph on $V$ with generating set ${x \in V ∣ q (x) = a}$ and…

math.NT2024

Isotropy indices of Pfister multiples in characteristic two

Nico Lorenz, KristÃ½na ZemkovÃ¡

Let $F$ be a field of characteristic $2$ , $I ¨ $ be an $n$ -fold bilinear Pfister form over $F$ and $I ¨ $ an arbitrary quadratic form over $F$ . In this note, we investigate Witt index,…