English

A note on vertices of indecomposable tensor products

Representation Theory 2019-06-28 v1

Abstract

G. Navarro raised the question under what circumstancs two vertices of two indecomposable modules over a finite group algebra generate a Sylow pp-subgroup. The present note provides a sufficient criterion for when this is the case. This generalises a result by Navarro for simple modules over finite pp-solvable groups, which is the main motivation for this note.

Keywords

Cite

@article{arxiv.1906.11599,
  title  = {A note on vertices of indecomposable tensor products},
  author = {Markus Linckelmann},
  journal= {arXiv preprint arXiv:1906.11599},
  year   = {2019}
}
R2 v1 2026-06-23T10:05:19.116Z