Rigid commutators and a normalizer chain
Riccardo Aragona, Roberto Civino, Norberto Gavioli, Carlo Maria Scoppola · Monatshefte für Mathematik · 2021
Abstract The notion of rigid commutators is introduced to determine the sequence of the logarithms of the indices of a certain normalizer chain in the Sylow 2-subgroup of the symmetric group on $$2^n$$ 2n letters. The terms of this sequence are proved to be those of the partial sums of the partitions of an integer into at least two distinct parts, that relates to a famous Euler’s partition theorem.