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2 results

  • Finite Subgroups in Integral Group Rings

  • Michael A. Dokuchaev, Stanley O. Juriaans
  • Journal:
    Canadian Journal of Mathematics / Volume 48 / Issue 6 / 01 December 1996
    Published online by Cambridge University Press:
    20 November 2018, pp. 1170-1179
    Print publication:
    01 December 1996
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  • 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.

  • Torsion Units in Integral Group Rings

  • Stanley Orlando Juriaans
  • Journal:
    Canadian Mathematical Bulletin / Volume 38 / Issue 3 / 01 September 1995
    Published online by Cambridge University Press:
    20 November 2018, pp. 317-324
    Print publication:
    01 September 1995
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  • Special cases of Bovdi's conjecture are proved. In particular the conjecture is proved for supersolvable and Frobenius groups. We also prove that if is finite, α ∊ VℤG a torsion unit and m the smallest positive integer such that αm ∊ G then m divides .