scholarly journals The Orders of Torsion Units in Integral Group Rings of Finite Solvable Groups

2008 ◽  
Vol 36 (10) ◽  
pp. 3585-3588 ◽  
Author(s):  
Martin Hertweck
Keyword(s):  
Solvable Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
Torsion Units

Torsion units in integral group rings of solvable groups

1994 ◽  
Vol 22 (12) ◽  
pp. 5005-5020 ◽  
Author(s):  
Michael A. Dokuchaev ◽  
Sudarshan K. Sehgal
Keyword(s):  
Solvable Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
Torsion Units

scholarly journals Torsion units in integral group rings of metacyclic groups

1984 ◽  
Vol 19 (1) ◽  
pp. 103-114 ◽  
Author(s):  
César Polcino Milies ◽  
Sudarshan K. Sehgal
Keyword(s):  
Group Rings ◽  
Integral Group ◽  
Metacyclic Groups ◽  
Integral Group Rings ◽  
Torsion Units

scholarly journals On a conjecture of Zassenhaus on torsion units in integral group rings. II

1986 ◽  
Vol 97 (2) ◽  
pp. 201-201 ◽  
Author(s):  
C{ésar Polcino Milies ◽  
J{ürgen Ritter ◽  
Sudarshan K. Sehgal
Keyword(s):  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
Torsion Units

Finite Subgroups in Integral Group Rings

1996 ◽  
Vol 48 (6) ◽  
pp. 1170-1179 ◽  
Author(s):  
Michael A. Dokuchaev ◽  
Stanley O. Juriaans
Keyword(s):  
Solvable Groups ◽  
Nilpotent Groups ◽  
Fourth Power ◽  
Group Rings ◽  
Integral Group ◽  
Frobenius Groups ◽  
Integral Group Rings ◽  
Finite Subgroups ◽  
Generalized Quaternion

AbstractA 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.

scholarly journals Torsion units in integral group rings of some metabelian groups, II

1987 ◽  
Vol 25 (3) ◽  
pp. 340-352 ◽  
Author(s):  
Z Marciniak ◽  
J Ritter ◽  
S.K Sehgal ◽  
A Weiss
Keyword(s):  
Group Rings ◽  
Integral Group ◽  
Metabelian Groups ◽  
Integral Group Rings ◽  
Torsion Units
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