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Connect Subgroup Lattice Enumerator to ChatGPT and Claude

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Map the structural hierarchy of any finite group.

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Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

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V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Subgroup Lattice Enumerator.

  1. 01

    Enumerate subgroups from table

    This capability finds all subgroups when you provide a complete multiplication table. It processes the Cayley table to identify every valid subgroup.

  2. 02

    Get subgroup properties

    This capability pulls specific metadata for a subgroup you've already found. Use it to check for normality or find the index of a subgroup.

  3. 03

    Enumerate subgroups from permutations

    This capability identifies all subgroups from a provided set of permutations. It works directly with permutation representations of finite groups.

  4. 04

    Map lattice structure

    This capability builds the hierarchy of subgroup inclusion. It produces a flattened or hierarchical view of how subgroups relate to one another.

Real work

What teams actually run

01

Cayley Table Analysis

Input a multiplication table and have the AI list every subgroup present.

02

Lattice Visualization

Generate a hierarchy of how subgroups nest within a parent group.

03

Normality Testing

Quickly check if a specific subset of elements forms a normal subgroup.

04

Permutation Group Study

Analyze the subgroup structure of a group defined by its permutations.

One connector, every AI

Subgroup Lattice Enumerator works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Subgroup Lattice Enumerator to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

953ms average. Fast in production.

Subgroup Lattice Enumerator is checked daily against the live service.

Daily averagePeak 1059ms
Oct 15Today
Fastest day
847ms
Slowest day
1059ms
14-day trend
Improving-20%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Subgroup Lattice Enumerator, so you can see the experience inside your AI.

It does not authenticate your account with Subgroup Lattice Enumerator. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Subgroup Lattice Enumerator Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_7H03uPcJghs1k8KVcLZ6whKzZTBoICTJmEv3Kt38/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Subgroup Lattice Enumerator capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "subgroup-lattice-enumerator-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_7H03uPcJghs1k8KVcLZ6whKzZTBoICTJmEv3Kt38/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Subgroup Lattice Enumerator in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Subgroup Lattice Enumerator owners hand off.

This MCP is built for mathematicians and researchers working with finite group theory.

  • 01

    Algebraic Researchers

    Hand off raw Cayley tables to the AI to automate subgroup discovery.

  • 02

    Graduate Students

    Use the capability to verify lattice structures for homework or thesis work.

  • 03

    Computational Mathematicians

    Offload the repetitive task of subgroup enumeration to the MCP.

FAQ

Questions Subgroup Lattice Enumerator owners ask.

  • 01

    What kind of group data can I use?

    You can use complete multiplication tables or permutation representations of finite groups.

  • 02

    Can I check if a subgroup is normal?

    Yes, you can use the get_subgroup_properties capability to check for normality and other metadata.

  • 03

    How do I see the relationship between subgroups?

    The map_lattice_structure capability provides a hierarchical or flattened view of how subgroups include one another.

  • 04

    Which AI clients work with this MCP?

    This MCP works with any compatible client like Claude, Cursor, Windsurf, or VS Code.

  • 05

    Do I need to host the MCP myself?

    No, Vinkius hosts and manages the MCP for you, so it is ready to use immediately after connection.

  • 06

    How do I find the inclusion relationships between subgroups?

    You can use the map_lattice_structure capability after performing an enumeration. It allows you to view the relationships as either a hierarchy or an adjacency list.

  • 07

    What happens if the group is too large to process fully?

    For permutation representations, you can use the isComplete parameter in enumerate_subgroups_from_permutations to restrict the search depth and avoid computational exhaustion.

Explore

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