SuzukiGroup - Maple Help

GroupTheory

 SuzukiGroup

 Calling Sequence SuzukiGroup()

Description

 • The Suzuki group of order $448345497600$ is one of the sporadic finite simple groups. It was discovered in 1969 by Michio Suzuki.
 • Note that the Suzuki sporadic simple group is unrelated to the Suzuki groups of Lie type. (See ExceptionalGroup.)
 • The SuzukiGroup() command returns a permutation group isomorphic to the Suzuki group.
 • In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

Examples

 > $\mathrm{with}\left(\mathrm{GroupTheory}\right):$
 > $G≔\mathrm{SuzukiGroup}\left(\right)$
 ${G}{≔}{Sz}$ (1)
 > $\mathrm{Degree}\left(G\right)$
 ${1782}$ (2)
 > $\mathrm{GroupOrder}\left(G\right)$
 ${448345497600}$ (3)
 > $\mathrm{IsSimple}\left(G\right)$
 ${\mathrm{true}}$ (4)

Compatibility

 • The GroupTheory[SuzukiGroup] command was introduced in Maple 17.