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      Invariant rings of modular P-groups

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      Author
      Toper, Ceren Coşkun
      Advisor
      Sezer, Müfit
      Date
      2013
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      We consider a finite group acting as linear substitutions on a polynomial ring and study the corresponding ring of invariants. Computing the invariant ring and finding its ring theoretical properties is a classical problem. We focus on the modular case where the characteristic of the field divides the order of the group. We review invariants of basic modular actions and give explicit descriptions of invariants of small dimensional actions. We also discuss a recent algorithm that computes the invariant ring of a modular p-group up to a localization and we apply this algorithm to invariants of indecomposable representations of a cyclic group of prime order.
      Keywords
      modular group actions
      invariants
      polarization
      generating sets
      localization
      Permalink
      http://hdl.handle.net/11693/15546
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      • Dept. of Mathematics - Master's degree 124
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