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Cellular actions and groups of finite quasi-projective dimension. (English) Zbl 0407.18011


MSC:

18G10 Resolutions; derived functors (category-theoretic aspects)
57M05 Fundamental group, presentations, free differential calculus
20J99 Connections of group theory with homological algebra and category theory
57M20 Two-dimensional complexes (manifolds) (MSC2010)
57S25 Groups acting on specific manifolds
57S30 Discontinuous groups of transformations
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References:

[1] Eilenberg, S., Ganea, T.: On the Lusternik-Schnirelmann category of abstract groups. Ann. of Math.65, 517-518 (1957) · Zbl 0079.25401 · doi:10.2307/1970062
[2] Howie, J., Schneebeli, H.R.: Groups of finite quasi-projective dimension. Comment. Math. Helv. (to appear) · Zbl 0422.20039
[3] Lyndon, R.C., Schupp, P.E.: Combinatorial Group Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete.89. Berlin-Heidelberg-New York: Springer 1977 · Zbl 0368.20023
[4] Magnus, W.: Noneuclidean Tesselations and Their Groups. New York-London: Academic Press 1974 · Zbl 0293.50002
[5] Vinberg, E.B.: Discrete groups generated by reflections in Loba?evskii spaces. Mat. Sb.72 (114), 471-488 (1967) (Russian). Engl. Transl.: Math. USSR Sb.1, 429-444 (1967) · Zbl 0166.16303
[6] Zieschang, H., Vogt, E., Coldewey, H.-D.: Flächen und ebene diskontinuierliche Gruppen. Lecture Notes in Mathematics122. Berlin-Heidelberg-New York: Springer 1970. · Zbl 0204.24002
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