Abstract
Max Koecher's axiomatic treatment of self-dual cones is generalized to pairs of dual cones. This leads to a powerful algorithm, à la Voronoi, to calculate the normalizer $N_{\GL_n(\funnyZ )}(G)$ and to decide conjugacy in $\GL_n(\funnyZ )$ for finite unimodular groups $G\leq \GL_n(\funnyZ )$.
Citation
Jürgen Opgenorth. "Dual Cones and the Voronoi Algorithm." Experiment. Math. 10 (4) 599 - 608, 2001.
Information
Published: 2001
First available in Project Euclid: 26 November 2003
zbMATH: 1007.20046
MathSciNet: MR1881760
Rights: Copyright © 2001 A K Peters, Ltd.