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Solve problems on groups v1.0.0

Use this resource to prove that a structure is a group or a subgroup

New

  • 451 downloads
  • 161 likes
  • 196 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install abstract-algebra-group-proofs

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent checks the group axioms, applies the subgroup criterion and studies homomorphisms, with Z3 checks and SymPy simplifications. You get a verifiable proof.

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Updated November 2, 2026

Card for the “Solve problems on groups” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (axioms, subgroups, homomorphisms)
  • SKILL.md: Z3 commands (axioms, subgroup) and SymPy (simplification)

Good fit for

  • You need to prove that a set with an operation is a group
  • You study homomorphisms

Not for

    Tags

    • groups
    • algebra
    • subgroups
    • homomorphism

    About

    You say

    “Show that the rotations of the plane form a group.”

    Card for the “Solve problems on groups” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to prove that a structure is a group or a subgroup
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.8 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/abstract-algebra/groups
    Licence
    MIT

    Notice

    « groups » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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