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arXiv · 2009.11149

Rigid commutators and a normalizer chain

Riccardo Aragona·Roberto Civino·Norberto Gavioli·Carlo Maria Scoppola
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Abstract

The novel 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.

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Riccardo Aragona, Roberto Civino, Norberto Gavioli, Carlo Maria Scoppola. 2020-09-23. Rigid commutators and a normalizer chain. https://doi.org/10.1007/s00605-021-01514-y

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