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About the kernel of the augmentation of finitely generated Z-modules

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Abstract

Let M be a free finitely generated Z-module with basis B and ΔM the kernel of the homomorphism M→Z which maps B to 1. A basis of ΔM can be easily constructed from the basis B of M. Let further R be a submodule of M such that N = M/R is free. The subject of investigation is the module ΔN = (ΔM + R) / R. We compute the index [N:ΔN] and construct bases of ΔN with the help of a basis of N. Finally, the results are applied to a special class of modules which is connected with the group of cyclotomic units.

Publication Information

Output type

Research Output:
Contribution to journal
Article
 Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 61-66

Journal (Volume, Issue Number)

Mathematical Communications (Volume 5)

Publication milestones

  • Published - 01/01/2000

Publication status

Published - 01/01/2000

ISSN

1331-0623

Publication IDs

  • handle.net: 10547/279226

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