논문KCI 등재
On the solutions of xκ =g in a finite group
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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.
Abstract
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.
참고문헌 (4)
- R. M. Bryant, "A note on generalized characters", Bull. Aust. Math. Soc, 5(2), pp.265~269 (1971)
- C. W. Charles, "Methods of Representation Theory. Vol. II, With applica- tions to finite groups and orders" (1987), John Wiley & Sons Inc.
- I. M. Isaacs, "Character Theory of Finite Groups" (2000), AMS Chelsea Publishing
- A. Kerber, "Gleichungen in endlichen Gruppen", Arch. Math, 35(3), pp.252~262 (1980)
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