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Morita equivalences between some blocks for  -solvable groups
Author(s):
Yuanyang
Zhou
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3133-3142.
MSC (2000):
Primary 20C20;
Secondary 20C11
Posted:
May 2, 2005
MathSciNet review:
2160174
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Abstract:
We prove that any Morita equivalence between some blocks with Abelian defect groups and cyclic inertia quotients for  -solvable groups is basic.
References:
-
- 1.
- P. Fong, On the characters of
 -solvable groups, Trans. Amer. Math. Soc. 98 (1961) 263-284. MR 0120297 (22:11052) - 2.
- M. Hertweck, Units of
 -power order in principal blocks of  -constrained groups, preprint. - 3.
- B. Külshammer, On blocks of
 -solvable groups, Comm. Algebra 9 (1981) 1763-1785. MR 0631888 (83c:20017) - 4.
- B. Külshammer and L. Puig, Extensions of nilpotent blocks, Invent. Math. 102 (1990), 17-71. MR 1069239 (91i:20009)
- 5.
- M. Linckelmann, Splendid derived equivalences for blocks of finite
 -solvable groups, J. London Math. Soc. (2) 62 (2000) 85-96. MR 1771852 (2001e:20011) - 6.
- L. Puig, Pointed groups and construction of characters, Math. Z. 176 (1981), 265-292. MR 0607966 (82d:20015)
- 7.
- L. Puig, Notes on
 -groups, preprint. - 8.
- L. Puig, On the local Structure of Morita and Rickard Equivalences Between Brauer blocks, Progr. Math., 178, Birkhäuser, Basel, 1999. MR 1707300 (2001d:20006)
- 9.
- L. Puig, Pointed groups and construction of modules, J. Algebra 16 (1988), 7-129. MR 0944149 (89e:20024)
- 10.
- L. Puig, Nilpotent blocks and their source algebras, Invent. Math. 93 (1988), 77-116. MR 0943924 (89e:20023)
- 11.
- J. -P. Serre, ``Local Fields'', GTM 67, Springer-Verlag, New York. MR 0554237 (82e:12016)
- 12.
- J. Thévenaz,
 -algebras and Modular Representation Theory, Oxford Math. Mon., 1995, Clarendon Press, Oxford. MR 1365077 (96j:20017)
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Additional Information:
Yuanyang
Zhou
Affiliation:
Department of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, People's Republic of China
Email:
zhouyy74@163.com
DOI:
10.1090/S0002-9939-05-08038-X
PII:
S 0002-9939(05)08038-X
Keywords:
Block,
defect group,
inertia quotient,
basic Morita equivalence
Received by editor(s):
June 13, 2004
Posted:
May 2, 2005
Communicated by:
Jonathan I. Hall
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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