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GAP package CRISP

Computing with Radicals, Injectors, Schunck classes and Projectors


Burkhard Höfling

Short Description

The GAP package CRISP provides algorithms for computing subgroups of finite solvable groups related to a group class C. In particular, it allows to compute C-radicals and C-injectors for Fitting classes (and Fitting sets) C, C-residuals for formations C, and C-projectors for Schunck classes C. In order to carry out these computations, the group class C must be represented by an algorithm which can decide membership in the group class.

Moreover, CRISP contains algorithms for the computation of normal subgroups invariant under a prescribed set of automorphisms and belonging to a given group class.

This includes an improved method to compute the set of all normal subgroups of a finite solvable group, its characteristic subgroups, minimal normal subgroups and the socle and p-socles for given primes p.


Current version number 1.3.8   (Released 18/02/2014)


accepted    (communicated by Joachim Neubüser (Aachen), accepted 12/2000)


GAP version: >=4.4.12

Online documentation

CRISP: [ HTML] version   [ PDF] version  


[README]    crisp-1r3n8[.tar.gz  (320K)]   [.tar.bz2  (300K)]   [  (360K)]   [.zip  (360K)]  


Burkhard Höfling