- sage.groups.matrix_gps.all
- sage.groups.matrix_gps.general_linear: General Linear Groups...
- sage.groups.matrix_gps.homset: Matrix Group Homsets...
- sage.groups.matrix_gps.linear: Linear Groups
AUTHORS:
-- William Stein: initial version
-- David Joyner: degree, base_ring, random, order methods; examples
-- David Joyner (2006-05): added center, more examples,
renamed random attributes, bug fixes.
- sage.groups.matrix_gps.matrix_group: Matrix Groups
AUTHORS:
William Stein -- initial version
David Joyner -- degree, base_ring, _contains_, list, random, order
methods; examples (2006-03-15)
William Stein (2006-12) -- rewrite
DJ (2007-12) -- Added invariant_generators (with M Albrecht, S King)
This class is designed for computing with matrix groups defined by a
relatively (small) finite set of generating matrices.
- sage.groups.matrix_gps.matrix_group_element: Matrix Group Elements
AUTHORS:
David Joyner -- initial version
David Joyner -- (2006-05) various modifications to address William
Stein's TODO's.
- sage.groups.matrix_gps.matrix_group_morphism: Homomorphisms Between Matrix Groups...
- sage.groups.matrix_gps.orthogonal: Orthogonal Linear Groups
Paraphrased from the GAP manual: The general orthogonal group
$GO(e,d,q)$ consists of those $d\times d$ matrices over the field
$GF(q)$ that respect a non-singular quadratic form specified by
$e$.
- sage.groups.matrix_gps.special_linear: Special Linear Groups...
- sage.groups.matrix_gps.symplectic: Symplectic Linear Groups
AUTHOR:
-- David Joyner: initial version (2006-3), modified from
special_linear (by W.
- sage.groups.matrix_gps.unitary: Unitary Groups $GU(n,q)$ and $SU(n,q)$
These are $n \times n$ unitary matrices with entries in $GF(q^2)$.
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