Rigid commutators and a normalizer chain
Group Theory
2022-05-25 v3
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.
Cite
@article{arxiv.2009.11149,
title = {Rigid commutators and a normalizer chain},
author = {Riccardo Aragona and Roberto Civino and Norberto Gavioli and Carlo Maria Scoppola},
journal= {arXiv preprint arXiv:2009.11149},
year = {2022}
}