Rigid commutators and a normalizer chain

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.

References in corpus (1)

• A Chain of Normalizers in the Sylow $2$-subgroups of the symmetric group on $2^n$ letters

Cited by in corpus (1)

• Unrefinable partitions into distinct parts in a normalizer chain