Work

On $2$-blocks with quaternion defect groups

Year: 2026

Type: preprint

Abstract: We determine the Morita equivalence classes of $2$-blocks with quaternion defect groups of arbitrary $2$-power order, thereby completing the proof of Donovan's conjecture for blocks of tame representation type.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.12052

Authors: Eaton, Charles, Eisele, Florian, Kessar, Radha, Linckelmann, Markus, Fry, A. A. Schaeffer

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Engineering and Physical Sciences Research Council

Awards: Group representations: orders, lattices and deformations, CAREER: Local-Global Properties in the Representations of Finite Groups, The Lie algebra of derivations of a block of a finite group

OpenAlex ID: W7202365186

Cites:

Cited by:

Related to: