Browsing by Subject "Modular cyclic groups"

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    Coinvariants and the regular representation of a cyclic P-group
    (Springer, 2013) Sezer, M.
    We consider an indecomposable representation of a cyclic p-group Zpr over a field of characteristic p. We show that the top degree of the corresponding ring of coinvariants is less than. This bound also applies to the degrees of the generators for the invariant ring of the regular representation. © 2012 Springer-Verlag.
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    Explicit separating invariants for cyclic p-groups
    (Elsevier, 2011-02) Sezer, M.
    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. © 2010 Elsevier Inc. All rights reserved.