Finite Subgroups in Integral Group Rings

Dokuchaev, Michael A. ; Juriaans, Stanley O.

Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1170-1179

Résumé

A p-subgroup version of the conjecture of Zassenhaus is proved for some finite solvable groups including solvable groups in which any Sylow p-subgroup is either abelian or generalized quaternion, solvable Frobenius groups, nilpotent-by-nilpotent groups and solvable groups whose orders are not divisible by the fourth power of any prime.

Détail

DOI : 10.4153/CJM-1996-061-7

Mots-clés : 20C05, 16S34, 16U60, group rings, torsion units, unique trace property, (p-ZC3)

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