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The isomorphism semigroup of a periodic abelian group

Published online by Cambridge University Press:  14 November 2011

Ian Kirkwood
Ian Kirkwood
Affiliation:
Caulfield Institute of Technology, Victoria, Australia
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Synopsis

The isomorphism semigroup S(G) of a group G is the semigroup of isomorphic mappings between subgroups of G, with composition its operation. This paper will show that a periodic abelian group is uniquely determined by its isomorphism semigroup.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 43 - 52
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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