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Representing matrices of almost completely decomposable groups

✍ Scribed by A. Mader; O. Mutzbauer; G.L. Nongxa

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
180 KB
Volume
158
Category
Article
ISSN
0022-4049

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✦ Synopsis

Almost completely decomposable groups can be described in terms of integral matrices and in terms of anti-representations in ΓΏnite modules over proper quotient rings of the ring of integers. The anti-representations are described by the so-called representating matrices. Representing matrices and their interrelationship with the integral matrices describing a group are studied in general. It is shown that the integral and representing matrices may be assumed to have a special form. Two applications demonstrate the usefulness of the results.

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