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On hypercentral units in integral group rings
Journal of Group Theory, 2007Let \(G\) be a group. An integral domain of characteristic \(0\) is called \(G\)-adapted if whenever \(G\) has an element of prime order \(p\), then \(p\) is not invertible in \(R\). Let \(R\) be such a \(G\)-adapted ring and let \(U\) be the group of units of the group ring \(RG\). Let \(Z_n(U)\) be the \(n\)-th term of the upper central series of \(U\
Hertweck, M. +3 more
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Integral Group Rings of Finite Groups of Lie Type
Bulletin of the London Mathematical Society, 1999The isomorphism problem for integral group rings, which is the question whether for two groups \(G\) and \(H\), \(\mathbb{Z} G\cong\mathbb{Z} H\) implies \(G\cong H\), is studied for certain finite groups of Lie type. Namely, if \(\mathbb{G}\) is a simply connected simple algebraic group over an algebraically closed field \(k\) of positive ...
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Bicyclic Units in some Integral Group Rings
Canadian Mathematical Bulletin, 1995AbstractA description is given of the unit group for the two groups G = D12 and G = D8 × C2. In particular, it is shown that in both cases the bicyclic units generate a torsion-free normal complement. It follows that the Bass-cyclic units together with the bicyclic units generate a subgroup of finite index in for all n ≥ 3.
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
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The Integral Group Rings of Hypercentral Groups
Bulletin of the London Mathematical Society, 1971openaire +2 more sources
Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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Ovarian cancer statistics, 2018
Ca-A Cancer Journal for Clinicians, 2018Britton Trabert +2 more
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