Computation of equivariant birational class in equivariant Burnside group

Computation of equivariant birational class in equivariant Burnside group $\rm{Burn}_n(G)$.

This page contains Magma code for De Concini-Procesi algorithm mentioned in

Equivariant Burnside groups and representation theory, (Andrew Kresch and Yuri Tschinkel)

Magma code:

• Computes equivariant birational class in $\mathrm{Burn}_n(G)$ by De Concini-Procesi

Some examples and results:

• Instructions to use Magma code
• Examples
• Example $\rm{PSL}(2,7)$
• Example $C_n^2:C_3$
• Example $(C_n \times C_m):C_3$
• Example $D_5 \times D_4$
• Finite subgroups of $\rm{PGL}(2,\mathbb{C})$
• Finite subgroups of $\rm{PGL}(3,\mathbb{C})$
• Finite primitive subgroups of $\rm{PGL}(4,\mathbb{C})$