Previous years and theses
In the spring of 2010 eight students wrote their bachelor's thesis in algebra and geometry. They formed two groups, one working on Rubik's cube and one working on p-groups.
RUBIK'S CUBE
This famous toy was originally designed to exemplify the complexity of finite groups. Which group is actually visualized with the Cube, and which normal subgroups does it have? are some questions to consider. Click here for much more information and generalizations.
p-GROUPS
One of the results that we encounter in the course Groups and Rings states that every group consisting of p squared elements, for a prime number p, is an abelian group. Groups where the number of elements is a prime power, is a p-group, and such groups are well studied. It would be interesting to find elementary results characterizing the structure of p-groups of low prime powers, as e.g. three and four.