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Exact sequences of conjugacy classes and rationalization

Published online by Cambridge University Press:  24 October 2008

R. J. Steiner
R. J. Steiner
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge
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Extract

The purpose of this paper is to exhibit two exact sequences involving the sets of conjugacy classes in various groups. One of them is applied to prove the following result.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 2 , September 1977 , pp. 249 - 253
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

(1)Hilton, P., Mislin, G. and Roitberg, J.Localization of nilpotent groups and spaces, North Holland mathematics studies 15, Notas de matemática 55 (Amsterdam, Oxford, New York: North Holland/American Elsevier, 1975).Google Scholar
(2)Hilton, P., Mislin, G. and Roitberg, J. On maps of finite complexes into nilpotent spaces of finite type: a correction to ‘Homotopical localization’. Preprint.Google Scholar
(3)Steiner, R. J.Localization, completion and infinite complexes. Mathematika 24 (1977), 1–15.Google Scholar