Konstruktion rationaler Darstellungen endlicher Gruppen

Schulz, Tilman; Plesken, Wilhelm (Thesis advisor)

Aachen : Publikationsserver der RWTH Aachen University (2002)
Dissertation / PhD Thesis

Aachen, Techn. Hochsch., Diss., 2002

Abstract

This work developes a new method to construct integral representaions of a finite group G. Starting point are the modular constituents of this representations for a prime p. An algorithm described in this work will construct an approximative representation over the p-adic integers. The construction of an integral representation uses "rational vectors" introduced by R. Parker. To prevent a groth of coefficients the LLL-algorithm is employed.