Skip to content

Add the category of finitely generated groups - #396

Merged
ScriptRaccoon merged 9 commits into
mainfrom
finitely-generated-groups
Oct 10, 2026
Merged

ScriptRaccoon merged 9 commits into
mainfrom
finitely-generated-groups

Conversation

@ScriptRaccoon

@ScriptRaccoon ScriptRaccoon commented Oct 4, 2026 •

Copy link
Copy Markdown
Owner

This PR adds the category of finitely generated groups Grpfg. We already have several variants (finite groups, finitely generated abelian groups, countable groups, finitely generated free abelian groups), but this one was missing.

The first draft of the proofs has been generated automatically with Claude Code from an empty Grp_fg.yaml file using the skill structure-proofs added in #394. After working for 12 minutes, almost all properties have been decided; only 3 have remained, which appear more difficult ($\aleph_1$-cofiltered limits, $\aleph_1$-filtered colimits, $\aleph_1$-accessible).

The generated proofs had a style very similar to the other proofs in the project. In any case, according to the AI guidelines, these proofs need to be checked by a human reviewer, which I did. In the process, the proofs and the skill have been improved. They were already good before my review, but now they are close to being perfect.

Later, Claude also found proofs that $\aleph_1$-cofiltered limits and $\aleph_1$-filtered colimits do not exist (≈ 20 minutes each). I have checked them thoroughly, and they have been revised multiple times. Hence, all properties are decided now.

Moreover, a content page content/fg-groups-aleph1-filtered-colimits.md has been added that proves the widely used result that a regular epimorphism that has a kernel pair is the coequalizer of that kernel pair.

@ScriptRaccoon ScriptRaccoon added the data additions and updates to the database label Oct 4, 2026
@ScriptRaccoon
ScriptRaccoon force-pushed the finitely-generated-groups branch 2 times, most recently from 77e424a to 88a86b9 Compare October 7, 2026 08:32
@ScriptRaccoon
ScriptRaccoon force-pushed the finitely-generated-groups branch from 88a86b9 to 93511e7 Compare October 10, 2026 06:40
@ScriptRaccoon
ScriptRaccoon marked this pull request as ready for review October 10, 2026 08:15
@ScriptRaccoon
ScriptRaccoon merged commit 98a7ea3 into main Oct 10, 2026
4 checks passed
@ScriptRaccoon
ScriptRaccoon deleted the finitely-generated-groups branch October 10, 2026 09:33
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

data additions and updates to the database

Projects

None yet

Development

Successfully merging this pull request may close these issues.

1 participant