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 $2^n$ 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.
|Titolo:||Rigid commutators and a normalizer chain|
ARAGONA, Riccardo (Corresponding)
|Data di pubblicazione:||2021|
|Appare nelle tipologie:||1.1 Articolo in rivista|