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I am reading a paper from Diaconis and Thiem about supercharacters and wanted to ask the following question:

In the proof of Lemma 4.1(a) I don't understand how to get from the third to the fifth line, i.e. why does the equality

$x_A(\phi_A)x_\beta(\phi(\beta))x_B(\phi_B)x_\beta(t)-x_\beta(t)=x_A(\phi_A)x_\beta(\phi(\beta)+t)[x_B(\phi_B),x_\beta(t)]-x_\beta(t)$

hold?

Thank you for your help.

  • 2
    Could you make the question self-contained?2012-03-16

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