English

Non-injective inductions and restrictions of modules over finite groups

Representation Theory 2024-10-31 v1

Abstract

In this note, we extend the inductions and restrictions of modules over finite groups to non-injective group homomorphisms, establishing transitivity, Frobenius reciprocity, Mackey's formula, etc.

Keywords

Cite

@article{arxiv.2410.22742,
  title  = {Non-injective inductions and restrictions of modules over finite groups},
  author = {Conghui Li and Yuting Tian},
  journal= {arXiv preprint arXiv:2410.22742},
  year   = {2024}
}