What kind of groups does this MCP support?

This MCP is designed for finite group theory and works with groups defined by Cayley tables.

Can I use this with Claude?

Yes, you can connect this MCP to any MCP-compatible client, including Claude.

Do I need to provide the operation table?

Yes, the capabilities require the group elements and the operation table to perform calculations.

Does it handle both left and right cosets?

Yes, the decompose_cosets capability can perform partitioning for both left and right cosets.

How does it verify a subgroup?

The validate_subgroup capability checks the provided subset against all necessary subgroup axioms.

What is a coset decomposition?

It is the partitioning of a group into disjoint sets called cosets. You can use decompose_cosets to calculate these partitions for any finite group provided via an operation table.

How do I check if a subset is a valid subgroup?

The validate_subgroup capability checks for identity, closure, and inverse properties to ensure the subset satisfies all subgroup axioms.

Can I find the inverse of an element?

Yes, the find_element_inverse capability identifies the unique element that, when operated with the target, results in the group identity.

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Connect Coset Decomposition Calculator 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. Solve complex algebraic partitions and subgroup axioms instantly.

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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.

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.

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 Coset Decomposition Calculator.

01
Decompose cosets
This capability partitions a group into its disjoint left or right cosets. It is the primary way to break down group structures.
02
Find element inverse
This capability locates the unique inverse for a specific element within a group. It uses the group's operation table to find the match.
03
Get group properties
This capability retrieves high-level metadata about a group's structure. It can identify the group order and whether it is Abelian.
04
Validate subgroup
This capability checks if a subset of group elements satisfies all required subgroup axioms. It verifies the subset against the parent group's rules.

Real work

What teams actually run

Verifying Subgroups

You provide a subset and a group table, and the AI confirms if the subset is a valid subgroup.

Coset Decomposition

Use this to find all left or right cosets for a specific subgroup within a finite group.

Group Property Analysis

Quickly determine if a group is Abelian or find its identity element from a provided table.

Inverse Finding

Ask your agent to find the inverse of a specific element without scanning the entire table yourself.

One connector, every AI

Coset Decomposition Calculator 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.

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

You don't need a client to put Coset Decomposition Calculator 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

1040ms average. Fast in production.

Coset Decomposition Calculator is checked daily against the live service.

Daily averagePeak 1040ms

Oct 16Today

Fastest day: 1040ms
Slowest day: 1040ms
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 Coset Decomposition Calculator, so you can see the experience inside your AI.

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

Coset Decomposition Calculator Connector

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

Connector linkhttps://edge.vinkius.com/vk_preview_VqdvtFBJZPVPlJQ9wi1MJ6n99xtwoREtJbOvFfze/mcp

Claude Desktop

Follow the steps below to connect in seconds.

1In Claude Desktop, open Settings → Connectors.
2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
3Click Add and start a new chat — Coset Decomposition Calculator capabilities are ready to use.

Configuration · claude_desktop_config.jsonCopy

{
  "mcpServers": {
    "coset-decomposition-calculator-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_VqdvtFBJZPVPlJQ9wi1MJ6n99xtwoREtJbOvFfze/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 Coset Decomposition Calculator in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Coset Decomposition Calculator owners hand off.

This MCP is built for researchers and students working with abstract algebra and finite group theory.

01
Mathematics Researchers
They hand off repetitive Cayley table calculations to the AI to focus on higher-level proofs.
02
Graduate Students
They use the capability to quickly verify subgroup properties and coset decompositions during study.
03
Computational Algebraists
They use the MCP to bridge the gap between manual group theory and automated computation.

FAQ

Questions Coset Decomposition Calculator owners ask.

01
What kind of groups does this MCP support?
This MCP is designed for finite group theory and works with groups defined by Cayley tables.
02
Can I use this with Claude?
Yes, you can connect this MCP to any MCP-compatible client, including Claude.
03
Do I need to provide the operation table?
Yes, the capabilities require the group elements and the operation table to perform calculations.
04
Does it handle both left and right cosets?
Yes, the decompose_cosets capability can perform partitioning for both left and right cosets.
05
How does it verify a subgroup?
The validate_subgroup capability checks the provided subset against all necessary subgroup axioms.
06
What is a coset decomposition?
It is the partitioning of a group into disjoint sets called cosets. You can use decompose_cosets to calculate these partitions for any finite group provided via an operation table.
07
How do I check if a subset is a valid subgroup?
The validate_subgroup capability checks for identity, closure, and inverse properties to ensure the subset satisfies all subgroup axioms.
08
Can I find the inverse of an element?
Yes, the find_element_inverse capability identifies the unique element that, when operated with the target, results in the group identity.

Explore

More in Science

Connect Coset Decomposition Calculator to Claude, Cursor, ChatGPT & more

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

Each Connector runs inside its own sealed environment.

One switch stops every agent. Instantly.

Spending limits that pause instead of surprise.

We ship only the actions that matter.

01-04

Decompose cosets

Find element inverse

Get group properties

Validate subgroup

What teams actually run

Verifying Subgroups

Coset Decomposition

Group Property Analysis

Inverse Finding

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

Coset Decomposition Calculator Connector

Claude Desktop

Mathematics Researchers

Graduate Students

Computational Algebraists

What kind of groups does this MCP support?

Can I use this with Claude?

Do I need to provide the operation table?

Does it handle both left and right cosets?

How does it verify a subgroup?

What is a coset decomposition?

How do I check if a subset is a valid subgroup?

Can I find the inverse of an element?

Cayley Table Generator AI Connector

Finite Group Order & Enumeration AI Connector

Subgroup Lattice Enumerator AI Connector

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