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

PDF
1037234.pdf Restricted to Registered users only Download (243kB) | Request a copy |

## Abstract

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).

Item Type: | Article |
---|---|

Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

Depositing User: | Erika Bilicsi |

Date Deposited: | 19 Nov 2012 09:09 |

Last Modified: | 19 Nov 2012 09:09 |

URI: | http://real.mtak.hu/id/eprint/3396 |

### Actions (login required)

Edit Item |