TORSION UNITS IN INTEGRAL GROUP RINGS OF CERTAIN METABELIAN GROUPS
2008 ◽
Vol 51
(2)
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pp. 363-385
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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).
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2017 ◽
Vol 16
(02)
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pp. 1750025
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1976 ◽
Vol 28
(5)
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pp. 954-960
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1984 ◽
Vol 19
(1)
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pp. 103-114
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1987 ◽
Vol 25
(3)
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pp. 340-352
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1992 ◽
Vol 20
(2)
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pp. 423-435
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1983 ◽
Vol 17
(2)
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pp. 270-283
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