ThompsonGroup - Maple Help

GroupTheory

 ThompsonGroup

 Calling Sequence ThompsonGroup()

Description

 • The Thompson group of order $90745943887872000$ is one of the sporadic finite simple groups.  It can be realized as the centralizer of an element of order $3$ in the Monster.
 • The ThompsonGroup() command returns a symbolic representation of the Thompson group.
 • In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.

Examples

 > $\mathrm{with}\left(\mathrm{GroupTheory}\right):$
 > $G≔\mathrm{ThompsonGroup}\left(\right)$
 ${G}{≔}{Th}$ (1)
 > $\mathrm{GroupOrder}\left(G\right)$
 ${90745943887872000}$ (2)
 > $\mathrm{ifactor}\left(\mathrm{GroupOrder}\left(G\right)\right)$
 ${\left({2}\right)}^{{15}}{}{\left({3}\right)}^{{10}}{}{\left({5}\right)}^{{3}}{}{\left({7}\right)}^{{2}}{}\left({13}\right){}\left({19}\right){}\left({31}\right)$ (3)
 > $\mathrm{IsSimple}\left(G\right)$
 ${\mathrm{true}}$ (4)

Compatibility

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