803356 VO Algebra 2 (2004S)

The lecture Algebra 2 is a continuation of Algebra 1 and hence the content of this latter lecture is assumed to be known to the students. We are going to consolidate the subject matter. In group theory we are going to prove the Theorem of Jordan-Hölder (possibly for groups with operators) and to discuss the Theorems of Sylow and solvable groups. In field theory we are going to to discuss field extensions in more detail. Whether we will reach the main theorem of Galois Theory has to remain open.