Perfect Isometries for Blocks with Abelian Defect Groups and Klein Four Inertial Quotients(Representation Theory of Finite Groups and Finite Dimensional Algebras)
Perfect Isometries for Blocks with Abelian Defect Groups and Klein Four Inertial Quotients(Representation Theory of Finite Groups and Finite Dimensional Algebras)
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DOI：
10.1006/jabr.1993.1184
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发表时间：
1992-08
期刊：
影响因子：
--
通讯作者：
L. Puig;Yoko Usami
中科院分区：
文献类型：
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作者：
L. Puig;Yoko Usami
设B是有限群G的p-块，G具有交换亏群P，e是B在CG（P）中的根。若惯性商E（=NG（P，e）/CG（P））是Klein 4群，则存在从E与P的半直积的适当扭群代数的广义特征标群到G的广义特征标群在B上的所谓完全等距.
Abstract Let b be a p-block of a finite group G with an abelian defect group P and e a root of b in CG(P). If the inertial quotient E (=NG(P, e)/CG(P)) is a Klein four group, there is a so called perfect isometry from the group of generalized characters of a suitable twisted group algebra of the semidirect product of E and P onto the group of generalized characters of G in b.