M. Sezer

activity

20102022

most citedGröbner bases for the Hilbert ideal and coinvariants of the Dihedral group

D_{2 p}

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4 citations · 15 across the 11 of their papers we have counts for

collaborators

13 papers

math.AC2022

Vector invariants of permutation groups in characteristic zero

Fabian Reimers, Müfit Sezer

We consider a finite permutation group acting naturally on a vector space $V$ over a field $k$ . A well known theorem of Göbel asserts that the corresponding ring of invariants…

math.AC2020

Degree bounds for modular covariants

Jonathan Elmer, Müfit Sezer

Let $V, W$ be representations of a cyclic group $G$ of prime order $p$ over a field $k$ of characteristic $p$ . The module of covariants $k [V, W]^{G}$ is the set of $G$ -equivariant poly…

math.AC2018

On the depth of quotients of modular invariant rings by transfer ideals

Jonathan Elmer, Müfit Sezer

Let $G$ be a finite group, and $V$ a finite dimensional vector space over a field $k$ of characteristic dividing the order of $G$ . Let $H \leq G$ . The transfer map $k[V]^H \rightar…

math.AC2018★ 1 cited

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…

math.AC2016

Locally finite derivations and modular coinvariants

Jonathan Elmer, Mufit Sezer

We consider a finite dimensional $\kk G$-module $V$ of a $p$ -group $G$ over a field $\kk$ of characteristic $p$ . We describe a generating set for the corresponding Hilbert Ideal. I…

math.AC2015★ 1 cited

On Cohen-Macaulayness and depth of ideals in invariant rings

Martin Kohls, Müfit Sezer

We investigate the presence of Cohen-Macaulay ideals in invariant rings and show that an ideal of an invariant ring corresponding to a modular representation of a $p$ -group is not…