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

Fuente: arXiv
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Main Author: Yılmaz, Deniz
Format: Preprint
Published: 2023
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author Yılmaz, Deniz
author_facet Yılmaz, Deniz
contents Let $\mathbb{F}$ be an algebraically closed field of characteristic zero. Recently, we proved that isotypic blocks are functorially equivalent over $\mathbb{F}$. In this article we provide an example of functorially equivalent blocks which are not perfectly isometric.
format Preprint
id arxiv_https___arxiv_org_abs_2401_08580
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A note on blocks of finite groups with TI Sylow $p$-subgroups
Yılmaz, Deniz
Group Theory
20C20, 20C34, 20J15
Let $\mathbb{F}$ be an algebraically closed field of characteristic zero. Recently, we proved that isotypic blocks are functorially equivalent over $\mathbb{F}$. In this article we provide an example of functorially equivalent blocks which are not perfectly isometric.
title A note on blocks of finite groups with TI Sylow $p$-subgroups
topic Group Theory
20C20, 20C34, 20J15
url https://arxiv.org/abs/2401.08580