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Connect Finite Group Order Enumeration 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. Perform precise group theory calculations through your AI client.

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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.

A futuristic MCP client docking bay
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 Finite Group Theory Engine.

  1. 01

    Calculate subgroup properties

    This capability analyzes a subset of elements to see if it meets the criteria for a valid subgroup.

  2. 02

    Detect duplicate generators

    Use this to find and identify any redundant or identical generators in your provided set.

  3. 03

    Enumerate group elements

    This capability finds every unique element in a group based on a specific set of generators.

  4. 04

    Find element order

    This capability calculates the smallest positive integer n that returns an element to the identity when applied n times.

Real work

What teams actually run

01

Permutation Group Analysis

Find all elements in a group generated by specific permutations.

02

Subgroup Testing

Verify if a subset of a known group satisfies subgroup axioms.

03

Order Determination

Calculate the order of specific elements within a finite group.

04

Data Sanitization

Remove duplicate generators from a set before performing group operations.

One connector, every AI

Finite Group Theory Engine 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 Finite Group Theory Engine 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

1125ms average. Fast in production.

Finite Group Theory Engine is checked daily against the live service.

Daily averagePeak 1125ms
Oct 16Today
Fastest day
1125ms
Slowest day
1125ms
14-day trend
Stable0%

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 Finite Group Theory Engine, so you can see the experience inside your AI.

It does not authenticate your account with Finite Group Theory Engine. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Finite Group Theory Engine Connector

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

Connector linkhttps://edge.vinkius.com/vk_preview_gkpc6xJZYVvEkX4HVbBMjDhGredzZb5Lxc6zUiM3/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 — Finite Group Theory Engine capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "finite-group-order-enumeration-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_gkpc6xJZYVvEkX4HVbBMjDhGredzZb5Lxc6zUiM3/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 Finite Group Theory Engine in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Finite Group Theory Engine owners hand off.

This MCP is built for mathematicians and students working with finite group theory and algebraic structures.

  • 01

    Mathematicians

    Hand off complex group enumeration and subgroup verification tasks to their agent.

  • 02

    Algebra Students

    Use the agent to verify homework calculations or explore group properties.

  • 03

    Computational Researchers

    Integrate group theory operations into larger algorithmic workflows via an AI client.

FAQ

Questions Finite Group Theory Engine owners ask.

  • 01

    What mathematical operations does this MCP support?

    It supports PermutationComposition, MatrixMultiplication, and ModularAddition.

  • 02

    Can I use this with Claude or Cursor?

    Yes, you can use this MCP with any MCP-compatible client like Claude, Cursor, or Windsurf.

  • 03

    How do I find the order of an element?

    You can use the find_element_order capability to find the smallest positive integer that results in the identity.

  • 04

    Does this help with redundant data?

    Yes, the detect_duplicate_generators capability identifies redundant or identical generators in your set.

  • 05

    How do I verify a subgroup?

    Use the calculate_subgroup_properties capability to analyze if a subset forms a valid subgroup.

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