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A: Is there a formula for $[F_n : V_{\{x^3\}}(F_n)]$?

Yanior Weg$$[F_n : V_{\{x^2\}}(F_n)] = 3^{m + C_m^2 + C_m^3}$$ It was proved by Bartel van der Waerden and Friedrich Wilhelm Levi in "Über eine besonderen Klasse von Gruppen" in 1933.

 
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MSE Unanswered Feed: The number of unanswered questions on Math.SE today is 263909
posted on October 05, 2019

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