GroupTheory - Maple Programming Help

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

GroupTheory

 BabyMonster

 Calling Sequence BabyMonster()

Description

 • The Baby Monster $𝔹$ group is the second largest among the sporadic finite simple groups. The Baby Monster was constructed in 1977 by Jeffrey Leon and Charles Sims as a permutation group of degree 13571955000, but the existence of the Baby Monster had been predicted earlier in the 1970s by Bernd Fischer.
 • The BabyMonster() command returns a symbolic group that represents the Baby Monster.
 • In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

Examples

 > $\mathrm{with}\left(\mathrm{GroupTheory}\right):$
 > $G≔\mathrm{BabyMonster}\left(\right)$
 ${G}{≔}{𝔹}$ (1)
 > $\mathrm{GroupOrder}\left(G\right)$
 ${4154781481226426191177580544000000}$ (2)
 > $\mathrm{IsSimple}\left(G\right)$
 ${\mathrm{true}}$ (3)

Compatibility

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