On Splendid Derived and Stable Equivalences Between Blocks of Finite Groups
نویسندگان
چکیده
منابع مشابه
Cohomology of groups, abelian Sylow subgroups and splendid equivalences
Let G be a finite group and let R be a complete discrete valuation domain of characteristic 0 with residue field k of characteristic p and let S be R or k. The cohomology rings H∗(K,S) for subgroups K of G together with restriction to subgroups of G, transfer from subgroups of G and conjugation by elements of G gives H∗(−, S) the structure of a Mackey functor. Moreover, the group HSplenS(K) of ...
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In a recent paper [5], we introduced a classes of derived equivalences called almost ν-stable derived equivalences. The most important property is that an almost ν-stable derived equivalence always induces a stable equivalence of Morita type, which generalizes a well-known result of Rickard: derived-equivalent self-injective algebras are stably equivalent of Morita type. In this paper, we shall...
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1 Buerger, M. J., "The arrangement of atoms in the wollastonite group of metasilicates," these PROCEEDINGS, 42, 113-116 (1956). 2Buerger, M. J., "The determination of the crystal structure of pectolite, Ca2NaHSi309," Zeit. Krist., 108, 248-261 (1956). 3 Mamedov, K. S., and N. V. Belov, "Crystal structure of wollastonite," Doklady Akad. Nauk. SSSR, 107, 463-466 (1956). 4 Buerger, M. J., and N. N...
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In this paper, we assume that algebras are finite dimensional algebras with 1 over a fixed field k and modules over an algebra are finitely generated left unitary modules. Let A and B be two algebras (where k is a splitting field for A and B) with no semisimple summands. If two bimodules AMB and BNA induce a stable equivalence of Morita type between A and B, and if N⊗A− maps any simple A-module...
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A finite poset X carries a natural structure of a topological space. Fix a field k, and denote by D(X) the bounded derived category of sheaves of finite dimensional k-vector spaces over X. Two posets X and Y are said to be derived equivalent if D(X) and D(Y ) are equivalent as triangulated categories. We give explicit combinatorial properties of X which are invariant under derived equivalence, ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8812