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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.
Dorabiala, Wojciech. "Finite group actions on 2- dimensional CW-complexes." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1994. [59]-68. <http://eudml.org/doc/221556>.
@inProceedings{Dorabiala1994, abstract = {Let $X$ 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 $X$. 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.}, author = {Dorabiala, Wojciech}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, keywords = {Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics}, location = {Palermo}, pages = {[59]-68}, publisher = {Circolo Matematico di Palermo}, title = {Finite group actions on 2- dimensional CW-complexes}, url = {http://eudml.org/doc/221556}, year = {1994}, }
TY - CLSWK AU - Dorabiala, Wojciech TI - Finite group actions on 2- dimensional CW-complexes T2 - Proceedings of the Winter School "Geometry and Physics" PY - 1994 CY - Palermo PB - Circolo Matematico di Palermo SP - [59] EP - 68 AB - Let $X$ 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 $X$. 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. KW - Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics UR - http://eudml.org/doc/221556 ER -