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Details van artikel 16 van 30 gevonden artikelen
| Titel: |
On commutative group algebras of mixed groups |
| Auteur: |
Hill, Paul Ullery, William |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 25 (1997) nr. 12 pagina's 4029-4038 |
| Jaar: |
1997 |
| Inhoud: |
Suppose F is a perfect field of characteristic p 0 and G is an abelian group whose torsion subgroup Gt is p-primary. If Gt is totally projective of countable length, it is shown that G is a direct factor of the group of normalized units V(G) of the group algebra F(G) and that V(G)/G is a totally projective p-group. The proof of this result is based on a new characterization of the class of totally projective p-groups of countable length. Li addition, the same result regarding V(G) is obtained if G has countable torsion-free rank and Gt is totally projective of length less than ω1 + ω0 . Finally, these results are applied to the question of whether the existence of an F-i pomorphism F(G) ≅ F(H) for some group H implies that G≅H. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 16 van 30 gevonden artikelen
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