On the lifting problem of representations of a metacyclic group
- Resource Type
- Working Paper
- Authors
- Kontogeorgis, Aristides; Terezakis, Alexios
- Source
- Subject
- Mathematics - Algebraic Geometry
Mathematics - Representation Theory
20C20, 20C10, 14H37
- Language
We give a necessary and sufficient condition for a modular representation of a group $G=C_{p^h} \rtimes C_m$ in a field of characteristic zero to be lifted to a representation over local principal ideal domain of characteristic zero containing the $p^h$ roots of unity.