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Infinite quasi-injective groups

Published online by Cambridge University Press:  20 January 2009

M. J. Tomkinson
M. J. Tomkinson
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW
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A group G is said to be quasi-injective if, for each subgroup H of G and homomorphism θ:H→G, there is an endomorphism such that . It is of course well known that the category of groups does not possess non-trivial injective objects and so we consider groups satisfying the weaker condition of quasi-injectivity.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 2 , June 1988 , pp. 249 - 259
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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