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      GAP package CRISP

      Computing with Radicals, Injectors, Schunck classes and Projectors

      The GAP package CRISP provides algorithms for computing subgroups of finite soluble 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 soluble group, its characteristic subgroups, minimal normal subgroups and the socle and p-socles for given primes p.

      Burkhard H?fling
      Burkhard H?fling
      Shipped Version
      1.4.5    (Released 07/11/2019)
      accepted    (communicated by Joachim Neub├╝ser (Aachen), accepted 01/12/2000)
      GAP version: >=4.5
      [HTML]     [PDF]
      crisp-1.4.5   [.tar.bz2]