Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T18:59:54.815Z Has data issue: false hasContentIssue false
  • English
  • Français

A homological criterion for the realizability of poly-Surface groups

Published online by Cambridge University Press:  24 October 2008

F. E. A. Johnson
F. E. A. Johnson
Affiliation:
Department of Mathematics, University College, London WC1E 6BT
Get access Rights & Permissions [Opens in a new window]

Extract

The Realizability Question for poly-Surface groups consists in asking whether, for any poly-Surface group G, one may find a smooth closed aspherical manifold XG with π1(XG)= G. It seems, on present evidence, that the answer is always ‘yes’ [2][3], although in any one case the details may be quite complicated [4].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 1 , January 1985 , pp. 89 - 92
Copyright
Copyright © Cambridge Philosophical Society 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Gbeenberg, L.. Discrete groups of motions. Canad. J. Math. 12 (1960), 415–425.CrossRefGoogle Scholar
[2]Johnson, F. E. A.. On the realisability of poly-Surface groups. J. Pure Appl. Algebra 15 (1979), 235–241.CrossRefGoogle Scholar
[3]Johnson, F. E. A.. Automorphisms of direct products of groups and their geometric realisations. Math. Ann. 263 (1983), 343–364.CrossRefGoogle Scholar
[4]Johnson, F. E. A.. The realisation problem for poly-Surface groups in dimension six. (To appear.)Google Scholar