Browsing by Subject "Coinvariants"

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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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    Decomposing modular coinvariants
    (Elsevier, 2015) Sezer, M.
    We consider the ring of coinvariants for a modular representation of a cyclic group of prime order p. We show that the classes of the terminal variables in the coinvariants have nilpotency degree p and that the coinvariants are a free module over the subalgebra generated by these classes. An incidental result we have is a description of a Gröbner basis for the Hilbert ideal and a decomposition of the corresponding monomial basis for the coinvariants with respect to the monomials in the terminal variables. © 2014 Elsevier Inc.
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    Gröbner bases for the Hilbert ideal and coinvariants of the dihedral group D2p
    (Wiley, 2012-11) Kohls, M.; Sezer, M.
    We consider a finite dimensional representation of the dihedral group D2p over a field of characteristic two where p is an odd integer and study the corresponding Hilbert ideal IH . We show that IH has a universal Grobner basis consisting of invariants and monomials only. We provide sharp bounds for the degree of an ¨ element in this basis and in a minimal generating set for IH . We also compute the top degree of coinvariants when p is prime.