吉林大学学报（理学版）2018，Vol.56Issue(1)：47-52,6.DOI:10.13413/j.cnki.jdxblxb.2018.01.08
有限群稳定模范畴的Bousfield等价
Bousfield Equivalence of Stable Module Category for Finite Group
摘要
Abstract
The author considered the Bousfield equivalence relationship of the stable module category for a finite group ,and proved that ,if H was a strongly p-embedded subgroup of G ,then two finitely generated indecomposable kG-modules (kH-modules) were Bousfield equivalent if and only if their Green correspondents were Bousfield equivalent ,in addition ,Green correspondence induced a one-to-one correspondence between Bousfield equivalence classes of Stmod (kG) and those of Stmod(kH) .关键词
稳定模范畴/Bousfield类/Bousfield等价/强p-嵌入子群Key words
stable module category/Bousfield class/Bousfield equivalence/strongly p-embedded subgroup分类
数理科学引用本文复制引用
黄文林..有限群稳定模范畴的Bousfield等价[J].吉林大学学报（理学版）,2018,56(1):47-52,6.基金项目
国家自然科学基金(批准号:10826057). （批准号:10826057）
