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.
Rigid commutators and a normalizer chain
riccardo aragona
;roberto civino;norberto gavioli;carlo maria scoppola
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 $2^n$ 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.File in questo prodotto:
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