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On the generators of S-unit groups in algebraic number fields

Published online by Cambridge University Press:  17 April 2009

B. Brindza
B. Brindza
Affiliation:
Mathematics Institute Kossuth Lájos University, H - 4010 Debrecen Pf. 12, Hungary
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Abstract

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Given a finitely generated multiplicative subgroup Us in a number field, we employ a simple argument from the geometry of numbers and an inequality on multiplicative dependence in number fields to obtain a minimal set of generators consisting of elements of relatively small height.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 325 - 329
Copyright
Copyright © Australian Mathematical Society 1991

References

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