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Convergent Sequences in Discrete Groups

Published online by Cambridge University Press:  20 November 2018

Andreas Thom
Andreas Thom*
Affiliation:
Universit¨at Leipzig, Germany e-mail: thom@math.uni-leipzig.de
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Abstract

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We prove that a finitely generated group contains a sequence of non-trivial elements that converge to the identity in every compact homomorphic image if and only if the group is not virtually abelian. As a consequence of the methods used, we show that a finitely generated group satisfies Chu duality if and only if it is virtually abelian.

Keywords

54H11Chu dualityBohr topology
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 424 - 433
Copyright
Copyright © Canadian Mathematical Society 2013

References

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