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math.RT2026
Reduction theorems for a conjecture on basis in source algebras of blocks of finite groups
Tiberiu Coconet, Constantin-Cosmin Todea
The aim of this short research note is to present some results about a conjecture of Barker and Gelvin claiming that any source algebra of a block of a finite group has the unit gr…
math.RT2025
A reduction theorem for non-vanishing of Hochschild cohomology of block algebras and Happel's property
Patrick Serwene, Constantin-Cosmin Todea
In this short research note we obtain a reduction theorem for the non-vanishing of the first Hochschild cohomology of block algebras of finite groups with non-trivial defect groups…