 GroupTheory - Maple Programming Help

Home : Support : Online Help : Mathematics : Group Theory : GroupTheory/RudvalisGroup

GroupTheory

 RudvalisGroup
 construct a permutation group isomorphic to the Rudvalis simple group

 Calling Sequence RudvalisGroup()

Description

 • The Rudvalis group is a sporadic finite simple group of order $145926144000$. It is one of the pariahs, not being a subquotient of the Monster, and was discovered by Arunas Rudvalis and constructed by J. H. Conway and D. B. Wales in 1973.
 • The RudvalisGroup() command returns a permutation group isomorphic to the Rudvalis group.
 • In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

Examples

 > $\mathrm{with}\left(\mathrm{GroupTheory}\right):$
 > $G≔\mathrm{RudvalisGroup}\left(2\right)$
 ${G}{≔}{Ru}$ (1)
 > $\mathrm{Degree}\left(G\right)$
 ${4060}$ (2)
 > $\mathrm{GroupOrder}\left(G\right)$
 ${145926144000}$ (3)
 > $\mathrm{IsSimple}\left(G\right)$
 ${\mathrm{true}}$ (4)

Compatibility

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