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Mathieu groupoid: Art, Construction & Overview

In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12. It was introduced by Conway (1987, 1997) and studied in detail by Conway, Elkies & Martin (2006).

Language: English [EN]
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Mathieu groupoid topic overview

The analysis highlights Art, Construction and Overview as prominent areas in the source structure around Mathieu groupoid.

Related topics
7
Source areas
2
Connected nodes
9
Extracted relationships
7
Concept neighborhoods
8
Bridge connections
9

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 4 topics
Construction · 3 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Construction

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Mathieu groupoid connects Entity context

The extracted context around Mathieu groupoid shows recurring relationship patterns in the source. For example, Mathieu groupoid → It, M12, Mathieu, The, The Mathieu, This Another extracted example is Mathieu groupoid → The Mathieu. Use these groups to spot repeated connection types before inspecting the individual relationships.

Mathieu groupoid

Top relations

related to Construction · 6
Mathieu groupoid → It, M12, Mathieu, The, The Mathieu, This
related to External links · 1
Mathieu groupoid → The Mathieu

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

mathieu groupoid point 13 points group conway empty m13 m12 1987 1997 11 10 math mathematics elkies martin 2006 doi

Mathieu groupoid relationships Subject–Predicate–Object triples

TTTA extracted 7 structured relationships around Mathieu groupoid. Examples in this analysis include Mathieu groupoid → related to Construction → The and Mathieu groupoid → related to Construction → The Mathieu. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Mathieu groupoidrelated to ConstructionThe0.60section
Mathieu groupoidrelated to ConstructionThe Mathieu0.60section
Mathieu groupoidrelated to ConstructionThis0.60section
Mathieu groupoidrelated to ConstructionIt0.60section
Mathieu groupoidrelated to ConstructionMathieu0.60section
Mathieu groupoidrelated to ConstructionM120.60section
Mathieu groupoidrelated to External linksThe Mathieu0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Mathieu groupoid bring nearby vocabulary together. In this analysis, examples include Mathieu, Groups and Horton. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Mathieu groupoid
    • Mathieu
    • Groups
    • Horton
    • John
    • Math
    • M₁₃
    • Puzzle
    • Conway
    • Points
    • Point
    • Acting
    • Arxiv
  • mathieu groupoid
    • Mathieu
    • Points
    • Groups
    • Horton
    • John
    • Math
    • M₁₃
    • Puzzle
    • Conway
    • Point
    • Acting
    • Stabilizer
  • mathieu group m12
    • M13
    • M12
    • Groups
    • Horton
    • John
    • Math
    • Mathematics
    • M₁₃
    • Conway
    • Mathieu
    • Point
    • Arxiv
  • conway
    • Elkies
    • Groups
    • Horton
    • John
    • Martin
    • Math
    • M₁₃
    • M12
    • M13
    • Group
    • Arxiv
    • Detail
  • conway, elkies & martin (2006)
    • Martin
    • Elkies
    • Groups
    • Horton
    • John
    • Math
    • M₁₃
    • Arxiv
    • Doi
    • Introduced
    • M12
    • M13
  • sliding block puzzle
    • Arxiv
    • Doi
    • Mr
    • Counters
    • Elkies
    • Groups
    • Horton
    • John
    • Martin
    • Math
    • Mathematics
    • Mathieu
  • groupoid
    • Mathieu
    • Points
    • Point
    • Acting
    • Stabilizer
    • Consists
    • Counters
    • Mathematics
    • Morphisms
    • Operations
    • Plane
    • Projective
  • projective plane
    • Projective
    • Points
    • Containing
    • Counters
    • Puzzle

Connections between topic areas Semantic bridges

For Mathieu groupoid, one of the stronger structural bridges in this analysis connects Mathieu groupoid with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Mathieu groupoidOverview · splits 5 ⟂ 5
Mathieu groupoidConstruction · splits 6 ⟂ 4

Map overview Semantic statistics

Mathieu groupoid

Nodes10
Edges9
Triples7
Avg. degree1.8
Density0.2
Components1

Source & methodology

TTTA analyzes the structure around Mathieu groupoid to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Art, Construction & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Mathieu groupoid · EN edition · Analysis: TopicsToTalkAbout

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