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On  -permutation equivalences: Between Rickard equivalences and isotypies
Author(s):
Robert
Boltje;
Bangteng
Xu
Journal:
Trans. Amer. Math. Soc.
360
(2008),
5067-5087.
MSC (2000):
Primary 20C20, 20C15, 19A22
Posted:
May 19, 2008
MathSciNet review:
2415064
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Abstract:
Broué and Rickard defined in their landmark papers from 1990 and 1996 the notions of an isotypy and a splendid equivalence between  -blocks of finite groups. Here, we define a notion of equivalence, which we call a  -permutation equivalence, that implies an isotypy and is implied by a splendid equivalence. Moreover, we study properties of  -permutation equivalences.
References:
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Additional Information:
Robert
Boltje
Affiliation:
Department of Mathematics, University of California, Santa Cruz, California 95064
Email:
boltje@ucsc.edu
Bangteng
Xu
Affiliation:
Department of Mathematics, University of California, Santa Cruz, California 95064
Address at time of publication:
Department of Mathematics, Eastern Kentucky University, 521 Lancaster Avenue, Wallace 313, Richmond, Kentucky 40475
Email:
btxu@math.ucsc.edu, bangteng.xu@eku.edu
DOI:
10.1090/S0002-9947-08-04393-6
PII:
S 0002-9947(08)04393-6
Received by editor(s):
October 5, 2005
Posted:
May 19, 2008
Additional Notes:
The first author's research was supported by the NSF, DMS-0200592
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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