Published January 1, 2011 | Version v1
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Explicit separating invariants for cyclic P-groups

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We consider a finite-dimensional indecomposable modular representation of a cyclic p-group and we give a recursive description of an associated separating set: We show that a separating set for a representation can be obtained by adding, to a separating set for any subrepresentation, some explicitly defined invariant polynomials. Meanwhile, an explicit generating set for the invariant ring is known only in a handful of cases for these representations. (C) 2010 Elsevier Inc. All rights reserved.

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