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2007.54: Structure theorems over polynomial rings

2007.54: Peter Symonds (2007) Structure theorems over polynomial rings. Advances in Mathematics, 208 (1). pp. 408-421. ISSN 0001-8708

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DOI: 10.1016/j.aim.2006.02.012

Abstract

Given a polynomial ring R over a field k and a finite group G, we consider a finitely generated graded RG-module S. We regard S as a kG-module and show that various conditions on S are equivalent, such as only containing finitely many isomorphism classes of indecomposable summands or satisfying a structure theorem in the sense of [D. Karagueuzian, P. Symonds, The module structure of a group action on a polynomial ring: A finiteness theorem, preprint, http://www.ma.umist.ac.uk/pas/preprints].

Item Type:Article
Uncontrolled Keywords:Polynomial ring; Structure theorem; Group action
Subjects:MSC 2000 > 20 Group theory and generalizations
MIMS number:2007.54
Deposited By:Miss Louise Stait
Deposited On:30 March 2007

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