Title: Pseudofree Finite Group Actions on 4-Manifolds
Speaker: Subhajit Mishra
Abstract:
We prove several theorems about the pseudofree, locally linear and homologically trivial action of finite groups G on closed, connected, oriented 4-manifolds M with non-zero Euler characteristic. In this setting, the rankp (G) < 1, for p > 5 prime and rank(G) < 2, for p = 2, 3. We combine these results into two main theorems: Theorem A and Theorem B in Chapter 1. These results strengthen the work done by Edmonds, and Hambleton and Pamuk. We remark that for low second betti-numbers ( <= 2) there are other examples of finite groups which can act in the above way.