## Rank conditions for finite group actions on 4-manifolds

Canadian Journal Of Mathematics-Journal Canadien De Mathematiques, vol.74, no.2, pp.550-572, 2022 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 74 Issue: 2
• Publication Date: 2022
• Doi Number: 10.4153/s0008414x21000018
Let M be a closed, connected, orientable topological 4" role="presentation" >$4$-manifold, and G be a finite group acting topologically and locally linearly on M. In this paper, we investigate the spectral sequence for the Borel cohomology HG&#x2217;(M)" role="presentation" >${H}_{G}^{\ast }\left(M\right)$ and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.