5 citations · 5 across the 1 of their papers we have counts for
4 papers
Enumerating submodules invariant under an endomorphism
Tobias Rossmann
We study zeta functions enumerating submodules invariant under a given endomorphism of a finitely generated module over the ring of (-)integers of a number field. In particular,…
Primitive finite nilpotent linear groups over number fields
Tobias Rossmann
Building upon the author's previous work on primitivity testing of finite nilpotent linear groups over fields of characteristic zero, we describe precisely those finite nilpotent g…
Stability results for local zeta functions of groups and related structures
Tobias Rossmann
Various types of local zeta functions studied in asymptotic group theory admit two natural operations: (1) change the prime and (2) perform local base extensions. Often, the effect…
Topological representation zeta functions of unipotent groups
Tobias Rossmann
Inspired by work surrounding Igusa's local zeta function, we introduce topological representation zeta functions of unipotent algebraic groups over number fields. These group-theor…