|Time||Jan 9 16:50~17:10|
|Title||The fixed subgroup of automorhpism of cofinite volume Klein group|
In this talk, we discuss the rank of fxed subgroup of the automorphism of a cofinite volume Klein group. This question comes from the Scott's conjecture. In this paper, we first give some counterexamples of the analogous Scott's conjecture in the Klein group case. That is a automorphism of cofnite volume Klein group whose fxed subgroup's rank is larger than the rank of the Klein group itself. Then we classify all the possible fxed subgroup of cofnite volume Klein group. As a corollary we prove the weak version of scott's conjecture in cofnite volume Klein group case.