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Vector invariants of permutation groups in characteristic zero
Fabian Reimers, Müfit Sezer
We consider a finite permutation group acting naturally on a vector space over a field . A well known theorem of Göbel asserts that the corresponding ring of invariants…
Degree bounds for modular covariants
Jonathan Elmer, Müfit Sezer
Let be representations of a cyclic group of prime order over a field of characteristic . The module of covariants is the set of -equivariant poly…
On the depth of quotients of modular invariant rings by transfer ideals
Jonathan Elmer, Müfit Sezer
Let be a finite group, and a finite dimensional vector space over a field of characteristic dividing the order of . Let . The transfer map $k[V]^H \rightar…
Generic initial ideals of modular polynomial invariants
Bekir Danış, Müfit Sezer
We study the generic initial ideals (gin) of certain ideals that arise in modular invariant theory. For all cases an explicit generating set is known we calculate the generic initi…
Locally finite derivations and modular coinvariants
Jonathan Elmer, Mufit Sezer
We consider a finite dimensional $\kk G$-module of a -group over a field $\kk$ of characteristic . We describe a generating set for the corresponding Hilbert Ideal. I…
Separating invariants for arbitrary linear actions of the additive group
Emilie Dufresne, Jonathan Elmer, Müfit Sezer
We consider an arbitrary representation of the additive group over a field of characteristic zero and give an explicit description of a finite separating set in the corresponding r…