| Tartalom: |
http://dx.doi.org/10.1081/AGB-100107935 |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
|
| Cím: |
On symmetric units in group algebras
|
| Létrehozó: |
Bódi, Viktor
|
| Kiadó: |
Taylor and Francis
|
| Dátum: |
2001
|
| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
|
| Tartalmi leírás: |
Let U(KG) be the group of units of the group ring KG of the group G over a commutative ring K. The anti-automorphism g bar right arrow g(-1) of G can be extended linearly to an anti-automorphism a bar right arrow a* of KG. Let S*(KG) = (x is an element of U(KG) / x* = x) be the set of all symmetric units of U(KG). We consider the following question: for which groups G and commutative rings K it is true that S,(KG) is a subgroup in U(KG). We answer this question when either a) G is torsion and K is a commutative G-favourable integral domain of characteristic p greater than or equal to 0 or b) G is non-torsion nilpotent group and KG is semiprime.
|
| Típus: |
Article
PeerReviewed
|
| Formátum: |
application/pdf
|
| Azonosító: |
Bódi, Viktor (2001) On symmetric units in group algebras. Communications in Algebra, 29 (12). pp. 5411-5422. ISSN 0092-7872 (print), 1532-4125 (online)
|
| Kapcsolat: |
|
