关于分次代数的一个Fong型定理
摘要
证明有限p-可解群G的特征p的域上的分次代数的任一投射不可分模是从它的一个Hallp'-子群H的分次子代数的模的诱导模;并且给出了它的Hallp'-子群H的分次子代数的投射不可分模的诱导模仍然不可分的充分必要条件.
出处
《中国科学(A辑)》
CSCD
北大核心
2004年第6期651-656,共6页
Science in China(Series A)
基金
国家重点基础研究发展规划(973计划)资助项目(批准号:G19990751)
参考文献9
-
1Fan Y, Puig L, Zhou Y Y. On a theorem of Fong. J Algebra, 2001, 239:735-741
-
2Fong P. Solvable groups and modular representation theory. Trans Amer Math Soc, 1962, 103:484-494
-
3Green J A. On the indecomposable representations of a finite group. Math Z, 1959, 70:430-445
-
4Isaacs I M. Fong characters in π-separable groups. J of Algebra, 1986, 99:89-107
-
5Puig L. Pointed groups and construction of characters. Math Z, 1981, 176:265-292
-
6Fottner H, Külshammer B. On indecomposable and imprimitive modules for finite groups -- a Galgebra approach. J London Math Soc, 1999, 59:828-844
-
7Dade E C. Blocks of fully graded rings. Pacific J Math, Olga Taussky-Yodd Memorial Issue, 1997,85-122
-
8Grzeszczuk P. On G-systems and G-graded rings. Proc Amer Math Soc, 1985, 95:248-252
-
9Feit W. The Representation Theory of Finite Groups. Amsterdam: North-Holland Publishing Company,1982