Tobias Rossmann

On the enumeration of orbits of unipotent groups over finite fields

2024 · Proceedings of the American Mathematical Society

We show that the enumeration of linear orbits and conjugacy classes of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper Z"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="bold">Z</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathbf {Z}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -defined unipotent groups over …