Full description
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.
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