A construction of non-regularly orbicular modules for Galois coverings
نویسندگان
چکیده
منابع مشابه
Construction and Classification of Some Galois Modules
In our previous paper we describe the Galois module structures of pth-power class groups K/K, where K/F is a cyclic extension of degree p over a field F containing a primitive pth root of unity. Our description relies upon arithmetic invariants associated with K/F . Here we construct field extensions K/F with prescribed arithmetic invariants, thus completing our classification of Galois modules...
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Let p be a prime and suppose that K/F is a cyclic extension of degree p with group G. Let J be the FpG-module K/K of pth-power classes. In our previous paper we established precise conditions for J to contain an indecomposable direct summand of dimension not a power of p. At most one such summand exists, and its dimension must be p +1 for some 0 ≤ i < n. We show that for all primes p and all 0 ...
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Let $A$ be a nite dimensional $k-$algebra and $R$ be a locally bounded category such that $R rightarrow R/G = A$ is a Galois covering dened by the action of a torsion-free group of automorphisms of $R$. Following [30], we provide criteria on the convex subcategories of a strongly simply connected category R in order to be a cycle- nite category and describe the module category of $A$. We p...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2005
ISSN: 0025-5645
DOI: 10.2969/jmsj/1150287305