Duality of finite Abelian groups and a Jordan normal form of integer matrices (Q1095260)
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scientific article; zbMATH DE number 4027761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duality of finite Abelian groups and a Jordan normal form of integer matrices |
scientific article; zbMATH DE number 4027761 |
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Duality of finite Abelian groups and a Jordan normal form of integer matrices (English)
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1987
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\textit{K. Benabdallah} and the reviewer [Abelian group theory, Proc. Conf., Honolulu 1983, Lect. Notes Math. 1006, 556-561 (1983; Zbl 0522.20035)] introduced the notion of straight basis into the structure theory of abelian p-groups in order to use it as a new tool for the researches of these groups. In the present paper, the author utilizes this notion to finite Abelian groups and their dual groups, and obtains a factorization theorem of nonsingular integer matrices, which is an analogue of the transformation to Jordan normal form.
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straight basis
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finite Abelian groups
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dual groups
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factorization theorem
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integer matrices
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Jordan normal form
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0.737779438495636
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