Expansive algebraic actions of countable abelian groups

MILES, Richard (2006). Expansive algebraic actions of countable abelian groups. Monatshefte für Mathematik, 147 (2), 155-164.

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Official URL: https://doi.org/10.1007/s00605-005-
Link to published version:: https://doi.org/10.1007/s00605-005-


This paper gives an algebraic characterization of expansive actions of countable abelian groups on compact abelian groups. This naturally extends the classification of expansive algebraic ZdZd -actions given by Schmidt using complex varieties. Also included is an application to a natural class of examples arising from unit subgroups of integral domains.

Item Type: Article
Departments - Does NOT include content added after October 2018: Faculty of Social Sciences and Humanities > Department of Teacher Education
Identification Number: https://doi.org/10.1007/s00605-005-
Page Range: 155-164
Depositing User: Richard Miles
Date Deposited: 26 Jan 2018 13:04
Last Modified: 18 Mar 2021 16:30
URI: https://shura.shu.ac.uk/id/eprint/17241

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