A Correction to the Uniqueness of a Partial Perfect Locality over a Frobenius P-Category

作     者：Lluis Puig Jiping Zhang 

作者机构：CNRSInstitut de Mathematiques de Jussieu 6 Av Bizet94340 Joinville-le-PontFrance 不详 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2019年第26卷第4期

页      面：541-559页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：group P-category local structure 

摘      要：Let p be a prime,P a finite p-group and F a Frobenius ***[Existcnee,uniqueness and functoriality of the perfect locality over a Frobenius P-category,Algebra Colloq.23(2016)541-622],we claimed the uniqueness of the partial perfect locality over any up-closed set X of J--selfcentralizing subgroups of P,but recently Bob Oliver exhibits some counter-cxamplcs,demanding some revision of our *** this note we show that,up to replacing the perfect localities by the extendable perfect localities over any up-closed set X of J7-selfcentralizing subgroups of P,our arguments are correct,still proving the existence and the uniqueness of the perfect J730-locality,since it is *** take advantage of this revision to simplify some of our arguments.