Page 1

Displaying 1 – 6 of 6

Showing per page

Extension of complexes of groups

André Haefliger (1992)

Annales de l'institut Fourier

Complexes of groups G ( X ) over ordered simplicial complexes X are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space B G ( X ) . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups G ( X ) with coefficients in a G ( X ) -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or abelian kernel....

Currently displaying 1 – 6 of 6

Page 1