## Math 517B - Group Theory II

Spring 2015 - Section 1

Schedule: TTh 11 AM to 12.15 PM MATH EAST 246.
**Instructor:** K. Lux

- Office: room 507 Mathematics
- Office Hours: by appointment.

**Text:**

We will study the (Brauer) modular character theory of finite groups. Our guideline will be the
last chapter in the book
''Character Theory of Finite Groups''
by M. Isaacs.

More expanded versions of the material covered in class can be found
in the book ''Characters and Blocks of Finite Groups'' by G. Navarro and
the book ''Lectures on Character Theory'' by D. Goldschmidt.

Since we will also put some emphasis on computational techniques, we will partially follow
the book Representation Theory of Finite Groups by K. Lux and H. Pahlings for that topic. PDF versions
of the computational aspects covered will be available.
Moreover, we might also use the unpublished
manusscript Computational Modular Character Theory
by G. Hiss, C. Jansen, K. Lux, and R. Parker. Finally, we will use the
computer algebra system GAP to get hands-on experience with the computational
techniques outlined in class.

K. Lux / Department
of Mathematics /
University of Arizona / last revised 19th of January 2015