Let be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex . Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.
@article{701545, title = {Finite group actions on 2- dimensional CW-complexes}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1994}, pages = {[59]-68}, mrnumber = {MR1344001}, zbl = {0876.57019}, url = {http://dml.mathdoc.fr/item/701545} }
Dorabiala, Wojciech. Finite group actions on 2- dimensional CW-complexes, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1994), pp. [59]-68. http://gdmltest.u-ga.fr/item/701545/