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A generalized notion of quotient for finite Abelian groups

✍ Scribed by G.L. O'brien

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
271 KB
Volume
37
Category
Article
ISSN
0012-365X

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✦ Synopsis

A finite Abelian group G is partitioned into subsets which are translations of each othtr. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic.

πŸ“œ SIMILAR VOLUMES

Algorithmic Methods for Finitely Generat
Algorithmic Methods for Finitely Generated Abelian Groups
✍ Henri Cohen; Francisco Diaz Y Diaz; Michel Olivier πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 357 KB

We describe algorithmic tools to compute with exact sequences of Abelian groups. Although simple in nature, these are essential for a number of applications such as the determination of the structure of (Z K /m) \* for an ideal m of a number field K, of ray class groups of number fields, and of cond