| Tartalom: |
http://www.math.klte.hu/publi/contents.php?szam=65 |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
|
| Cím: |
On the first Zassenhaus conjecture for integral group rings
|
| Létrehozó: |
Bódi, Viktor
Hofert, C.
Kimmerle, W.
|
| Kiadó: |
Debreceni Egyetem, Matematika Intézet
|
| Dátum: |
2004-11
|
| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
|
| Tartalmi leírás: |
It was conjectured by H. Zassenhaus that a torsion unit off an integral group ring of a finite group is conjugate to a group element, within the rational group algebra. The object of this note is the computational aspect of a method developed by L S. Luthar and I. B. S. Passi which sometimes permits an answer to this conjecture. We illustrate the method on certain explicit examples. We prove with additional arguments that the conjecture is valid for any 3-dimensional crystallographic point group. Finally we apply the method to generic character tables and establish a p-variation of the conjecture for the simple groups PSL(2,p).
|
| Típus: |
Article
PeerReviewed
|
| Formátum: |
application/pdf
|
| Azonosító: |
Bódi, Viktor and Hofert, C. and Kimmerle, W. (2004) On the first Zassenhaus conjecture for integral group rings. Publicationes Mathematicae Debrecen, 65 (3-4). pp. 291-303. ISSN 0033-3883
|
| Kapcsolat: |
|
