15 citations · 51 across the 15 of their papers we have counts for
7 papers · 1 filter
Polynomial maps on vector spaces over a finite field
Michiel Kosters
Let be a finite field of cardinality and let be in . Let not all constant and consider the evaluation map $f…
Presentations for quaternionic -unit groups
Ted Chinburg, Holley Friedlander, Sean Howe +5
The purpose of this paper is to give presentations for projective -unit groups of the Hurwitz order in Hamilton's quaternions over the rational field . To our knowle…
Images of polynomial maps on large fields
Michiel Kosters
A field is called large if every irreducible -curve with a -rational smooth point has infinitely many -points. Let be a perfect large field and let . C…
The algebraic theory of valued fields
Michiel Kosters
In this exposition we discuss the theory of algebraic extensions of valued fields. Our approach is mostly through Galois theory. Most of the results are well-known, but some are ne…
A short proof of a Chebotarev density theorem for function fields
Michiel Kosters
In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version of this density theorem di…
Deterministically generating Picard groups of hyperelliptic curves over finite fields
Michiel Kosters
Let . In this article we will present a deterministic algorithm which does the following. The input is a hyperelliptic curve of genus over a finite field of cardin…
Algebras with only finitely many subalgebras
Michiel Kosters
Let R be a commutative ring. A not necessarily commutative R-algebra A is called futile if it has only finitely many R-subalgebras. In this article we relate the notion of futility…