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 TORSION UNITS IN INTEGRAL GROUP RINGS OF CERTAIN METABELIAN GROUPS

2008 ◽  
Vol 51 (2) ◽  
pp. 363-385 ◽  
Author(s):  
Martin Hertweck
Keyword(s):  
Finite Group ◽  
Abelian Group ◽  
Group Rings ◽  
Integral Group ◽  
Metabelian Groups ◽  
Metacyclic Groups ◽  
Integral Group Rings ◽  
Torsion Unit ◽  
A Finite Group ◽  
Torsion Units

AbstractIt is shown that any torsion unit of the integral group ring $\mathbb{Z}G$ of a finite group $G$ is rationally conjugate to an element of $\pm G$ if $G=XA$ with $A$ a cyclic normal subgroup of $G$ and $X$ an abelian group (thus confirming a conjecture of Zassenhaus for this particular class of groups, which comprises the class of metacyclic groups).

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
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