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Symplectic Linear Groups
AUTHOR:
-- David Joyner: initial version (2006-3), modified from
special_linear (by W. Stein)
EXAMPLES:
sage: G = Sp(4,GF(7))
sage: G._gap_init_()
'Sp(4, 7)'
sage: G
Symplectic Group of rank 2 over Finite Field of size 7
sage: G.random_element()
[1 6 5 5]
[2 1 4 5]
[1 2 4 5]
[4 0 2 2]
sage: G.order()
276595200
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| SymplecticGroup_generic | |||
| SymplecticGroup_finite_field | |||
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Return the symplectic group of degree n over R.
EXAMPLES:
sage: Sp(4,5)
Symplectic Group of rank 2 over Finite Field of size 5
sage: Sp(3,GF(7))
Traceback (most recent call last):
...
ValueError: the degree n (=3) must be even
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