The solvability dichotomy for commutator-tree mixing in finite groups — manuscript and verification artifact

Manuscript (42 pages) and standalone verification artifact for the paper "The solvability dichotomy for commutator-tree mixing in finite groups" by Ernest Darell Zermeño. Submitted to the Journal of the London Mathematical Society. The artifact contains 26 Python scripts with exact certificates, numerical checks and sampled computations. The companion paper "Uniform Mixing in Barrington Branching Programs" was published in IACR Communications in Cryptology, 3(3), October 2026 (DOI 10.62056/a69qdkmol).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23820591
Primary Topic
Finite Group Theory Research
Type
preprint
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preprint

The solvability dichotomy for commutator-tree mixing in finite groups — manuscript and verification artifact

Ernest Darell Zermeno
Zenodo (CERN European Organization for Nuclear Research)
Finite Group Theory Research
preprint

The solvability dichotomy for commutator-tree mixing in finite groups — manuscript and verification artifact

Ernest Darell Zermeno
preprint en

Abstract

Manuscript (42 pages) and standalone verification artifact for the paper "The solvability dichotomy for commutator-tree mixing in finite groups" by Ernest Darell Zermeño. Submitted to the Journal of the London Mathematical Society. The artifact contains 26 Python scripts with exact certificates, numerical checks and sampled computations. The companion paper "Uniform Mixing in Barrington Branching Programs" was published in IACR Communications in Cryptology, 3(3), October 2026 (DOI 10.62056/a69qdkmol).

Zenodo (CERN European Organization for Nuclear Research)
Universidad Panamericana, campus Guadalajara (MX)
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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