Abstract
Using the Luthar-Passi method and results of Hertweck, we study the long-standing conjecture of Zassenhaus for integral group rings of alternating groups An, n ≤ 8. As a consequence of our results, we confirm the Kimmerle's conjecture about prime graphs for those groups.
| Original language | English |
|---|---|
| Pages (from-to) | 9-22 |
| Number of pages | 14 |
| Journal | Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis |
| Volume | 27 |
| Issue number | 1 |
| Publication status | Published - 2011 |
Keywords
- Integral group ring
- Kimmerle conjecture
- Torsion unit
- Zassenhaus conjecture
ASJC Scopus subject areas
- General Mathematics
- Education