A commutative version of the group ring
| Autor: | W. H. Mannan |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Principal ideal ring
Reduced ring Pure mathematics Ring (mathematics) Algebra and Number Theory Noncommutative ring Mathematics::Commutative Algebra Polynomial ring 20F05 57M05 20J05 20C07 Commutative ring Group Theory (math.GR) Category of rings FOS: Mathematics Mathematics - Group Theory Mathematics Group ring |
| DOI: | 10.48550/arxiv.1103.1577 |
| Popis: | We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups. Comment: 31 pages, preprint. Reason for revision: additions to content; in particular rewritten Section 5 and new Section 6 added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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