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GAP package HeLP

Hertweck-Luthar-Passi method.

HeLP is a package to compute constraints on partial augmentations of torsion units in integral group rings using a method developed by Luthar, Passi and Hertweck. The package can be employed to verify the Zassenhaus Conjecture, the Prime Graph Question, the Spectrum Problem and the Kimmerle Problem for finite groups, once characters are known. It uses an interface to the software package 4ti2 to solve integral linear inequalities or alternatively Normaliz.

Authors
Andreas Bächle, Leo Margolis
Maintainers
Andreas Bächle, Leo Margolis
Version with GAP 4.13.0
4.0    (Released 29/02/2024)
License
GPL-2.0-or-later
Status
deposited
Dependencies
GAP version: >=4.8.2
Needed other packages: io (>=4.2), CTblLib (>= 1.2.2)
Suggested other packages: 4ti2Interface (>= 2015.04.29), NormalizInterface (>= 0.9.6)
External needs: zsolve
Documentation
HeLP [HTML]     [PDF]
Download
HeLP-4.0   [.tar.gz]