English

On the lifting problem of representations of a metacyclic group

Algebraic Geometry 2023-01-04 v1 Representation Theory

Abstract

We give a necessary and sufficient condition for a modular representation of a group G=CphCmG=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 php^h roots of unity.

Keywords

Cite

@article{arxiv.2301.01032,
  title  = {On the lifting problem of representations of a metacyclic group},
  author = {Aristides Kontogeorgis and Alexios Terezakis},
  journal= {arXiv preprint arXiv:2301.01032},
  year   = {2023}
}