Abstract
Let G be an Abelian group. We say that G is a torsion group if every element of G has finite order. In other words, for every x in G there exists a positive integer n with nx = 0. Hence G is not a torsion group if and only if there exists an element of G which generates a subgroup isomorphic to ℤ.
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© 2006 Springer
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Székelyhidi, L. (2006). Spectral analysis and spectral synthesis on discrete Abelian groups. In: Discrete Spectral Synthesis and Its Applications. Springer Monographs in Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4637-7_3
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DOI: https://doi.org/10.1007/978-1-4020-4637-7_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4636-0
Online ISBN: 978-1-4020-4637-7
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