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

作　　者：Lluis Puig Jiping Zhang 

机构地区：[1]CNRS,Institut de Mathematiques de Jussieu 6 Av Bizet,94340 Joinville-le-Pont,France [2]不详

出　　处：《Algebra Colloquium》2019年第4期541-559,共19页代数集刊（英文版）

摘　　要：Let p be a prime,P a finite p-group and F a Frobenius P-category.In[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 arguments.In 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 extendable.We take advantage of this revision to simplify some of our arguments.

关 键 词：group P-category local structure 

分 类 号：O15[理学—数学]