Extension of complexes of groups
Annales de l'institut Fourier (1992)
- Volume: 42, Issue: 1-2, page 275-311
- ISSN: 0373-0956
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topHaefliger, André. "Extension of complexes of groups." Annales de l'institut Fourier 42.1-2 (1992): 275-311. <http://eudml.org/doc/74954>.
@article{Haefliger1992,
abstract = {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 $BG(X)$. 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.},
author = {Haefliger, André},
journal = {Annales de l'institut Fourier},
keywords = {ordered simplicial complexes; graphs of groups; classifying space; free resolutions; extensions of complexes of groups},
language = {eng},
number = {1-2},
pages = {275-311},
publisher = {Association des Annales de l'Institut Fourier},
title = {Extension of complexes of groups},
url = {http://eudml.org/doc/74954},
volume = {42},
year = {1992},
}
TY - JOUR
AU - Haefliger, André
TI - Extension of complexes of groups
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 1-2
SP - 275
EP - 311
AB - 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 $BG(X)$. 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.
LA - eng
KW - ordered simplicial complexes; graphs of groups; classifying space; free resolutions; extensions of complexes of groups
UR - http://eudml.org/doc/74954
ER -
References
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