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Jamison Sequences in Countably Infinite Discrete Abelian Groups by Devinck, Vincent is a scholarly article available to read on EtoBox.

What is Jamison Sequences in Countably Infinite Discrete Abelian Groups about?

We extend the definition of Jamison sequences in the context of topological abelian groups. Then we study such sequences when the abelian group is discrete and countably infinite. An arithmetical characterization of such sequences is obtained, extending the result of Badea and Grivaux about Jamison sequences of integers. In particular, we prove that the sequence consisting of all elements of the group is a Jamison sequence. In the opposite, a sequence which generates a subgroup of infinite index in the group is never a Jamison sequence.

Author

Devinck, Vincent

Published

2015

Language

EN