| Abstrakt: |
We introduce some kind of Čech-cohomology which is very well suited to treat the Zassenhaus Conjecture, which states that in ZG all group bases are rationally conjugate. For solvable groups we then discuss several applications to the Isomorphism problem and the Zassenhaus Conjecture. In particular, we can give a necessary and sufficient condition, purely in terms of the group G , for when the Isomorphism problem is true for a large quotient of the integral group ring. [ABSTRACT FROM AUTHOR] |
