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 |
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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