# Difference between revisions of "Open problems"

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This page is for open problems, large and small, relating to module categories for blocks. Missing data is also flagged within tables elsewhere on this site.

## Open cases for classifications of Morita equivalence classes for a given $p$-group

• Which Brauer trees give rise to blocks with defect group $C_7$? (This is the smallest cyclic group for which the classification is not known).

## Basic algebras of dimension 9

Does the 9-dimensional algebra described in Blocks with basic algebras of low dimension occur as the basic algebra of a block of a finite group? - no (see [LM20] and [Sa20])