2 results
STABLY FREE MODULES OVER
$\mathbf{Z}[(C_{p}\rtimes C_{q})\times C_{\infty }^{n}]$ ARE FREE
- Part of
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- Journal:
- Mathematika / Volume 63 / Issue 2 / 2017
- Published online by Cambridge University Press:
- 22 February 2017, pp. 451-461
- Print publication:
- 2017
-
- Article
- Export citation
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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.
POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS
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- Journal:
- Journal of the London Mathematical Society / Volume 70 / Issue 3 / December 2004
- Published online by Cambridge University Press:
- 03 December 2004, pp. 678-690
- Print publication:
- December 2004
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- Article
- Export citation
