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Mat. Zametki, 1968, Volume 3, Issue 5, Pages 523–527 (Mi mz6709)  

The effect of an involution in $\widetilde K^0(ZG)$

I. Reiner


Abstract: The involution in the Grothendieck group of the group ring of a finite cyclic group of prime order $p$, induced by the transition to the contragredient module is identical to complex conjugation followed by the automorphism $x\to x^{-1}$ in the ideal class group of the cyclotomic field of order $p$.

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English version:
Mathematical Notes, 1968, 3:5, 333–336

Bibliographic databases:

UDC: 513.83

Citation: I. Reiner, “The effect of an involution in $\widetilde K^0(ZG)$”, Mat. Zametki, 3:5 (1968), 523–527; Math. Notes, 3:5 (1968), 333–336

Citation in format AMSBIB
\Bibitem{Rei68}
\by I.~Reiner
\paper The effect of an involution in $\widetilde K^0(ZG)$
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 5
\pages 523--527
\mathnet{http://mi.mathnet.ru/mz6709}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=229696}
\zmath{https://zbmath.org/?q=an:0174.05504}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 5
\pages 333--336
\crossref{https://doi.org/10.1007/BF01150984}


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