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- W1971697125 abstract "A conjecture of Zassenhaus says that if G is a finite group then any unit u = ∑ u ( g ) g of finite order in Z G is conjugate in Q G to ± g , for some g ∈ G . This is known to be equivalent to saying that ũ( g 0 ) = ∑ h ∼ g 0 , u ( h ) is nonzero for a unique conjugacy class C g 0 of elements of G . We prove that this latter condition holds for infinite nilpotent groups as well. We also study the possibility of stable diagonalization of torsion matrices over Z G ." @default.
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- W1971697125 date "1994-06-01" @default.
- W1971697125 modified "2023-09-26" @default.
- W1971697125 title "Torsion Units in Infinite Group Rings" @default.
- W1971697125 doi "https://doi.org/10.1006/jnth.1994.1038" @default.
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