Inverse images of block varieties

TL;DR

This paper generalizes a mathematical result about block varieties from abelian defect groups to all defect groups, addressing a question in modular representation theory.

Contribution

It extends Kawai's result on block varieties to arbitrary defect groups, broadening the understanding of their structure.

Findings

Generalization of block variety results to non-abelian defect groups

Partial answer to Rickard's question in modular representation theory

Advancement in understanding the structure of blocks with arbitrary defect groups

Abstract

We extend a result due to Kawai on block varieties for blocks with abelian defect groups to blocks with arbitrary defect groups. This partially answers a question by J. Rickard.