Bachelor's Thesis

Hi, and welcome to my new maths blog.

I recently finished my "thesis" on Group Cohomology.

In this thesis we describe the basic properties of homology and cohomology with coefficients. Induction and coinduction is shown to coincide when the subgroup has finite index. We then proceed with a proof of Shapiro's Lemma.

We study the group algebra over a field and prove Maschke's theorem. The group algebra over a field is a self-injective ring, and we notice that the group algebra of a p-group over a field of characteristic p is a local Gorenstein ring.

Click the title of this entry to download the pdf.