English

Mackey algebras which are Gorenstein

Representation Theory 2020-07-27 v1 Group Theory K-Theory and Homology

Abstract

We complete the picture available in the literature by showing that the integral Mackey algebra is Gorenstein if and only if the group order is square-free, in which case it must have Gorenstein dimension one. We illustrate this result by looking in details at the examples of the cyclic group of order four and the Klein four group.

Cite

@article{arxiv.1709.02146,
  title  = {Mackey algebras which are Gorenstein},
  author = {Ivo Dell'Ambrogio and Jan Šťovíček},
  journal= {arXiv preprint arXiv:1709.02146},
  year   = {2020}
}

Comments

6 pages

R2 v1 2026-06-22T21:35:42.499Z