**BILKENT **

**ALGEBRA SEMINAR**

**"A Structure Theorem on Modular
Coinvariants"**

By

# MÜFİT SEZER

# (Bilkent University)

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**Abstract: **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 is
a free module over the subalgebra generated by these classes.
An incidental result we have is a description of a Groebner
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.

**Date: ****Monday, October 20, 2014**

**Time: ****15.40-17.30**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and biscuits: before the seminar