Classifying Almost Completely Decomposable Abelian Groups
β Scribed by A. Mader; C. Vinsonhaler
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 988 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
. where β«ήβ¬ is the set of all 1 = k integral matrices k-tuples , N is a nonsingular integral k = k matrix, and a w is a k = 1 matrix with entries from A. Here juxtaposition denotes the ordinary matrix and scalar multi-Ε½ . w plications. Thus adj N a is a k = 1 matrix of certain integral linear w y1 w
e., all type subgroups are functorial subgroups. 3. The type subgroups of "quasi-equal" groups are closely related.
In this paper the classification of ABELian groups in terms of affine completeness initiated by LAUSH and NOBAUER in [2] and continued by N~BAUER in [3] and [4] is completed. ## 1. Preliminaries. The word "group" will mean, throughout the paper, "ABELian group". If X is a subset of a group A. then