GroupTheory[OrthogonalGroup] - Maple Help

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GroupTheory[OrthogonalGroup]

Calling Sequence

OrthogonalGroup(name)

Parameters

name

-

: string : a name from the set { "O7(3)", "O8-(2)", "O8+(2)", "O8-(3)", "O8+(3)", "O10-(2)", "O10+(2)" }

Description

• 

The orthogonal groups form a class of finite simple groups of Lie type. The OrthogonalGroup( name ) command returns a permutation group isomorphic to an orthogonal group from among those listed above.

Examples

withGroupTheory:

G:=OrthogonalGroupO8+(2)

G:=O8+2

(1)

DegreeG

120

(2)

GroupOrderOrthogonalGroupO10-(2)

25015379558400

(3)

See Also

GroupTheory[Degree], GroupTheory[ExceptionalGroup], GroupTheory[GroupOrder]


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