A note on blocks of finite groups with TI Sylow p-subgroups

2023/10/04 by Denız Yılmaz, Yılmaz, Deniz
Mathematics · #20C20 #20C34 #20J15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2401.08580

openalex publication_date 2023/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathbbF be an algebraically closed field of characteristic zero. Recently, we proved that isotypic blocks are functorially equivalent over \mathbbF. In this article we provide an example of functorially equivalent blocks which are not perfectly isometric.

Related

• Isotypic blocks are functorially equivalent
• On functorial equivalence classes of blocks of finite groups
• On a perfect isometry between principal p-blocks of finite groups with cyclic p-hyperfocal subgroups
• Isotypic blocks of finite groups algebras that are not p-permutation equivalent
• Centres of blocks of finite groups with trivial intersection Sylow p-subgroups