npx skills add parcadei/Continuous-Claude-v3 --skill groups --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Groups ## When to Use Use this skill when working on groups problems in abstract algebra. ## Decision Tree 1. **Is G a group under operation *?** - Check closure: a,b in G implies a*b in G? - Check associativity: (a*b)*c = a*(b*c)? - Check identity: exists e such that e*a = a*e = a? - Check inverses: for all a exists a^(-1) such that a*a^(-1) = e? - Verify with `z3_solve.py prove "group_axioms"` 2. **Subgroup Test** - Show H is non-empty (usually by showing e in H) - Show that for all a, b in H: ab^(-1) in H - `z3_solve.py prove "subgroup_criterion"` 3. **Homomorphism Proof** - Verify phi(ab) = phi(a)phi(b) for all a, b in G1 - Note: phi(e1) = e2 and phi(a^(-1)) = phi(a)^(-1) follow automatically - `sympy_compute.py simplify "phi(a*b) - phi(a)*phi(b)"` 4. **Order and Structure** - Element order: smallest n where a^n = e - Group order: |G| = number of elements - Lagrange: |H| divides |G| for subgroup H ## Tool Commands ### Z3_Group_Axioms ```bash uv run python -m runtime.harness scripts/z3_solve.py prove "ForAll([a,b,c], op(op(a,b),c) == op(a,op(b,c)))" ``` ### Z3_Subgroup ```bash uv run python -m runtime.harness scripts/z3_solve.py prove "subgroup_criterion" ``` ### Sympy_Simplif
- When to Use
- Decision Tree
- Tool Commands
- Z3GroupAxioms
- Z3Subgroup
- SympySimplify
- Key Techniques
- Cognitive Tools Reference
uv run python -m runtime.harness scripts/z3_solve.py prove "ForAll([a,b,c], op(op(a,b),c) == op(a,op(b,c)))" uv run python -m runtime.harness scripts/z3_solve.py prove "subgroup_criterion" uv run python -m runtime.harness scripts/sympy_compute.py simplify "phi(a*b) - phi(a)*phi(b)"
What does the groups skill do?
Problem-solving strategies for groups in abstract algebra
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill groups --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.