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Permutation Groups
New Features:
- It is now possible to identify a transitive permutation group of
degree 32 in the database of all transitive groups of degree 32;
this requires the installation of an optional database containing
identification data.
- A new intrinsic AffineGroup takes a matrix group G
over a
finite field and returns the semidirect product of G
by the natural
G
-module as a permutation group where the degree is the size of the
natural module.
- A new intrinsic pCoreQuotient has been added. It returns the quotient
of the given permutation group G
by it's p
-core as a permutation group.
Changes:
- A number of measures have been taken to avoid constructing base and strong
generating set. Notably for the image of a homomorphism, when testing
a permutation group for being alternating or symmetric, and after a
backtrack search.
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