Induction and Auslander-Reiten Sequences Over Crossed Products

Th. Theohari-Apostolidi and H. Vavatsoulas
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Th. Theohari-Apostolidi: Aristotle University of Thessaloniki, Department of Mathematics
H. Vavatsoulas: Aristotle University of Thessaloniki, Department of Mathematics

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 765-774 from Springer

Abstract: Abstract The main aim of this paper is to study the Auslander-Reiten sequences in modR * G, the category of finitely generated left R * G-modules, where R * G is the crossed product of a finite group G over an artinian ring R. Especially we are interested on the behavior of the Auslander-Reiten sequences under the induction and restriction functors in accordance to a normal subgroup H of G.

Keywords: Normal Subgroup; Finite Group; Group Ring; Artinian Ring; Indecomposable Module (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_75

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DOI: 10.1007/978-3-662-04166-6_75

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