I have come up with the Question no. 2 of four problems related to Sylow’s theorem with high difficulty level. Let’s take a look at the problem and understand the concept. Let P be a Sylow p- group of a finite group G and let H be a subgroup of G...

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. Again, we are here with the Part 6 of the Arithmetical Dynamics Series. Let’s get started…. Consider fix point of \( R(z) = z^2 – z \) . Which is the...