Searching for Fractal Structures in the Universal Steenrod Algebra at Odd Primes

Abstract

Unlike the p = 2 case, the universal Steenrod algebra Q(p) at odd primes does not have a fractal structure that preserves the length of\ud monomials. Nevertheless, when p is odd, we detect inside Q(p) two different families of nested subalgebras, each isomorphic (as length-graded algebras) to the respective starting element of the sequence