ON THE SOLUTIONS OF xκ = g IN A FINITE GROUP

Title & Authors
ON THE SOLUTIONS OF xκ = g IN A FINITE GROUP
Prajapati, Sunil Kumar; Sarma, Ritumoni;

Abstract
The function $\small{g{\mapsto}{\zeta}^k_G(g)}$ which counts the number of solutions of $\small{x^k=g}$ 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.
Keywords
finite groups;group characters;
Language
English
Cited by
1.
A Study of the Number of Roots of xk = g in a Finite Group via Its Frobenius-Schur Indicators, Algebra Colloquium, 2017, 24, 01, 93
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