Invariant rings of modular P-groups
Author
Toper, Ceren Coşkun
Advisor
Sezer, Müfit
Date
2013Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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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.