4 papers
Cliques in Representation Graphs of Quadratic Forms
Nico Lorenz, Marc Christian Zimmermann
We study cliques in graphs arising from quadratic forms where the vertices are the elements of the module of the quadratic form and two vertices are adjacent if their difference re…
Pfister Numbers over Rigid Fields
Nico Lorenz
For certain types of quadratic forms lying in the n-th power of the fundamental ideal, we compute upper bounds and where possible exact values for the minimal number of general n-f…
On the Symbol Length of Fields with finite Square Class Number
Detlev Hoffmann, Nico Lorenz
Let be a field of characteristic not with finitely many square classes. Using combinatorial arguments applied to objects related to vector spaces over finite fields, we ded…
Supreme Torsion Forms
Nico Lorenz
We study formally real, non-pythagorean fields which have an anisotropic torsion form that contains every anisotropic torsion form as a subform. We obtain consequences for certain…