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Combinatorial Burnside group

Example

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Potentially stably rational conic bundle

Computation of equivariant birational class in equivariant Burnside group

Example

PGL(2,C)

PGL(3,C)

PGL(4,C)

Dimension1 Cyclic

Dimension1 Dihedral

Dimension1 Icosahedral

Dimension1 Octahedral

Dimension1 Tetrahedral

Dimension2 $A_5$

Dimension2 $A_6$

Dimension2 $ASL(2,3)$

Dimension2 $C_3:S_3.C_2$

Dimension2 $PSL(2,7)$

Dimension2 $PSU(3,2)$

Example C_n^2:C_3

Example (C_m*C_n):C_3

Example D5*D4

Example PSL(2,7)

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