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STABLY FREE MODULES OVER $\mathbf{Z}[(C_{p}\rtimes C_{q})\times C_{\infty }^{n}]$ ARE FREE

  • J. D. P. Evans (a1)
  • Please note a correction has been issued for this article.


Let $p,q$ be primes such that $q|p-1$ and set $\unicode[STIX]{x1D6F7}=C_{p}\rtimes C_{q}$ , $G=\unicode[STIX]{x1D6F7}\times C_{\infty }^{n}$ and $\unicode[STIX]{x1D6EC}=\mathbf{Z}[G]$ , the integral group ring of $G$ . By means of a fibre square decomposition, we show that stably free modules over $\unicode[STIX]{x1D6EC}$ are necessarily free.



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