Determine the scope of inaccuracies requiring clarification in foundational literature

Determine how many arguments in the foundational literature on modern modular representation theory may require further clarification or correction, in order to assess the reliability and dependencies of results built upon that literature.

Background

The paper discusses the difficulty of validating long chains of results in modern modular representation theory, where inaccuracies in earlier work may propagate into later arguments. Although the manuscript addresses specific errors and omissions in prior work on the inductive blockwise Alperin weight condition, it does not resolve the broader question of how extensive such issues are across the foundational literature.

The unresolved issue is explicitly framed as a question about the number of arguments that might benefit from clarification or correction. It concerns systematic investigation of the literature rather than a mathematical theorem proved in the paper.