MORITA EQUIVALENCE CLASSES OF 2-BLOCKS OF DEFECT THREE

被引：11

作者：

Eaton, Charles W. ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Oxford Rd, Manchester M13 9PL, Lancs, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

SOURCE ALGEBRAS; ORDER CONTAINS; POINTED GROUPS; PRIME NUMBER; BLOCKS; CONSTRUCTION; THEOREM;

D O I：

10.1090/proc/12886

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them. A consequence is the verification of Broue's abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of 2-blocks of defect at most three defined over a suitable field.

引用

页码：1961 / 1970

页数：10

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