Coconet T. & Todea C.C. (2026) Representation Theory [Matematică, Q1]

Publicat: 26 Aprilie 2026

Coconet T. & Todea C.C. (2026) Reduction theorems for a conjecture on bases in source algebras of blocks of finite groups. Representation Theory, 30, 134-143.

DOI: https://doi.org/10.1090/ert/713

✓ Publisher: American Mathematical Society
✓ Categories: Mathematics
✓ Article Influence Score (AIS): 0.883 (2024) / Q1

Abstract: The aim of this short research note is to present some results about a conjecture of Barker and Gelvin [J. Group Theory 25 (2022), pp. 973–995, Conjecture 1.5 ] claiming that any source algebra of a p-block ( is a prime) of a finite group has the unit group containing a basis stabilized by the left and right actions of the defect group. We obtain some reduction theorems for the existence of stable unital basis in source algebras of p-block algebras. Along the way we investigate this problem for the p-blocks of some finite simple groups.

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