GroupTheory[ExceptionalGroup] - Maple Help

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GroupTheory[ExceptionalGroup]

Calling Sequence

ExceptionalGroup( name )

Parameters

name

-

: string : an exceptional group name in {"G2(2)", "G2(3)", "G2(4)", "G2(5)", "R(3)", "R(27)", "Sz(8)", "Sz(32)", "3D4(2)", "3D4(3)", "F4(2)"}

Description

• 

Twisted or exceptional groups of Lie type are a class of finite simple groups. These are the Chevalley groups G2q, Ree groups Rq, Suzuki groups Szq, and Steinberg-Tits triality Groups D43q where q is a power of a prime.

• 

The ExceptionalGroup command returns a permutation group isomorphic to the exceptional group whose name is passed as argument.

Examples

withGroupTheory:

G:=ExceptionalGroupSz(8)

G:=Sz8

(1)

GroupOrderG

29120

(2)

G:=ExceptionalGroup3D4(2)

G:=D432

(3)

GroupOrderG

211341312

(4)

See Also

GroupTheory[OrthogonalGroup]


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