Showing math.COShow all
2 papers · 1 filter
math.CO2022
A "power" conjugate equation in the symmetric group
Szilvia Homolya, Jenő Szigeti
First we consider the solutions of the general "cubic" equation a_{1}x^{r1}a_{2}x^{r2}a_{3}x^{r3}=1 (with r1,r2,r3 in {1,-1}) in the symmetric group S_{n}. In certain cases this eq…
math.CO2021
Power-conjugate equations in symmetric groups
Szilvia Homolya, Jenő Szigeti
We investigate the solutions of the conjugate equation aya^(-1)=y^e in the symmetric group S_{n}. Here a is a fixed (constant), e is an integer exponent and y is a single unknown p…