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On the solutions of xκ =g in a finite group
Sunil Kumar Prajapati,Ritumoni Sarma 대한수학회 2013 대한수학회보 Vol.50 No.2
The function g →ζ k G(g) which counts the number of solu- tions of xk = g in a finite group G, is not necessarily a character of G. We study this function for the case of dihedral groups and generalized quaternion groups.
ON THE SOLUTIONS OF x<sup>κ</sup> = g IN A FINITE GROUP
Prajapati, Sunil Kumar,Sarma, Ritumoni Korean Mathematical Society 2013 대한수학회보 Vol.50 No.2
The function $g{\mapsto}{\zeta}^k_G(g)$ which counts the number of solutions of $x^k=g$ in a finite group G, is not necessarily a character of G. We study this function for the case of dihedral groups and generalized quaternion groups.