Classifying the groups of order $p q$ in Lean

Fuente: arXiv
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Hauptverfasser: Harper, Scott, Wu, Peiran
Format: Preprint
Veröffentlicht: 2025
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author Harper, Scott
Wu, Peiran
author_facet Harper, Scott
Wu, Peiran
contents This note discusses our formalisation in Lean of the classification of the groups of order $p q$ for (not necessarily distinct) prime numbers $p$ and $q$, together with various intermediate results such as the characterisation of internal direct and semidirect products.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09769
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Classifying the groups of order $p q$ in Lean
Harper, Scott
Wu, Peiran
Logic in Computer Science
Group Theory
20-04 (Primary) 20A05 (Secondary)
F.4.1; G.4
This note discusses our formalisation in Lean of the classification of the groups of order $p q$ for (not necessarily distinct) prime numbers $p$ and $q$, together with various intermediate results such as the characterisation of internal direct and semidirect products.
title Classifying the groups of order $p q$ in Lean
topic Logic in Computer Science
Group Theory
20-04 (Primary) 20A05 (Secondary)
F.4.1; G.4
url https://arxiv.org/abs/2501.09769