This is LaTeX code:

[latex]
 = \left( { - 1} \right)^{\sigma \left( {{\rm per}} \right)} M\left( {e^{{\rm per}\left( I \right)_1 } ,...,e^{{\rm per}\left( I \right)_k } } \right)\left( { - 1} \right)^{\sigma \left( {{\rm per}} \right)} = M\left( {e^{j_1 } ,...,e^{j_k } } \right)
[/latex]