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Changes:
-
The database known as glnzgps has been withdrawn as it is
superseded by the database of maximal finite subgroups of GL(n, Q).
New features:
-
A very efficient algorithm has been implemented for computing the conjugacy
classes of elements in a finite matrix group.
-
The maximal normal p-subgroup of a finite matrix group may be found using the
new function pCore.
-
The function ChangeRing may now be applied to an infinite group. For example,
it may be used to change the ring of an infinite group over the integers to a finite
group over GF(2), say.
-
A restricted version of LowIndexSubgroups developed by Leedham-Green and
O'Brien is now available for matrix groups.
-
The new function ElementaryAbelianQuotient returns the
p-elementary abelian quotient of a permutation group for a given
prime p.
-
A database of maximal finite subgroups of GL(n, Q) of degree up to 31
constructed by G. Nebe has been installed (RationalMatrixGroupDatabase).
-
A database of the finite absolutely irreducible subgroups of
where
is a definite quaternion algebra whose centre has degree d
over
and
has been installed. This collection is due to G. Nebe.
Bug fixes:
-
Bug fixes have been made to the functions CosetTable, PCGroup,
ClassMap and IsFinite.
-
Errors in the generators for two exceptional groups of Lie type, namely
E6 and F4, have been corrected. The errors were discovered by G. Malle.
Next: Matrix Groups over Finite
Up: Groups
Previous: Permutation Groups [HB 18]