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Mathieu group: History, Constructions of the Mathieu groups & Multiply transitive groups
In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Émile Mathieu (1861, 1873). They are multiply transitive permutation groups on 11, 12, 22, 23 or 24 objects. They are the first sporadic simple groups to be discovered.
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Mathieu group topic overview
The analysis highlights History, Constructions of the Mathieu groups and Multiply transitive groups as prominent areas in the source structure around Mathieu group.
Related topics
47
Source areas
4
Connected nodes
51
Extracted relationships
194
Concept neighborhoods
28
Bridge connections
51
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.
Constructions of the Mathieu groups · 20 topics
Overview · 14 topics
Multiply transitive groups · 8 topics
History · 5 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.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
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.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How Mathieu group connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around Mathieu group shows recurring relationship patterns in the source. For example, Mathieu group → Abhandlungen, Academic Press, America, American Journal, American Mathematical Society, Appliquées, Atkinson, Atlas, August, Berlin, Berline Berichte, BF02948947, BF02948948, Bibcode, Boston, Brian, Bulletin, Cambridge Philosophical Society, Cambridge University Press, Cameron Another extracted example is Mathieu group → ATLAS, David, GroupNamesScientific American, How, Lieven, M10ATLAS, M11ATLAS, M12, M12 An, M12ATLAS, M20ATLAS, M21ATLAS, M22ATLAS, M23ATLAS, M24le Bruyn, M9, Make, Mathieu, Mathieu Group M24, Monsieur Mathieu. Use these groups to spot repeated connection types before inspecting the individual relationships.
Mathieu group
Top relations
related to References· 145
Mathieu group → Abhandlungen, Academic Press, America, American Journal, American Mathematical Society, Appliquées, Atkinson, Atlas, August, Berlin, Berline Berichte, BF02948947, BF02948948, Bibcode, Boston, Brian, Bulletin, Cambridge Philosophical Society, Cambridge University Press, Cameron
related to External links· 20
Mathieu group → ATLAS, David, GroupNamesScientific American, How, Lieven, M10ATLAS, M11ATLAS, M12, M12 An, M12ATLAS, M20ATLAS, M21ATLAS, M22ATLAS, M23ATLAS, M24le Bruyn, M9, Make, Mathieu, Mathieu Group M24, Monsieur Mathieu
related to history· 10
Mathieu group → After, Carmichael, In Mathieu, J1, M12, M24, Mathieu, Miller, Steiner, Witt
related to Multiply transitive groups· 8
Mathieu group → Cameron, For, M12, M23, M24, Mathieu, Such, These
related to Automorphism groups on the Golay code· 6
Mathieu group → All, Golay, M12, M24, Mathieu, The
related to Dessins d'enfants· 4
Mathieu group → Bruyn, M12, Monsieur Mathieu, The Mathieu
related to Constructions of the Mathieu groups· 1
Mathieu group → The Mathieu
Important terminology
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Mathieu group relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 194 structured relationships around Mathieu group. Examples in this analysis include Mathieu group → related to Automorphism groups on the Golay code → The and Mathieu group → related to Automorphism groups on the Golay code → M24. The table shows each extracted connection, where it came from and its confidence.
Subject
Predicate
Object
Confidence
Src
Mathieu group
related to Automorphism groups on the Golay code
The
0.60
section
Mathieu group
related to Automorphism groups on the Golay code
M24
0.60
section
Mathieu group
related to Automorphism groups on the Golay code
Golay
0.60
section
Mathieu group
related to Automorphism groups on the Golay code
All
0.60
section
Mathieu group
related to Automorphism groups on the Golay code
Mathieu
0.60
section
Mathieu group
related to Automorphism groups on the Golay code
M12
0.60
section
Mathieu group
related to Constructions of the Mathieu groups
The Mathieu
0.60
section
Mathieu group
related to Dessins d'enfants
The Mathieu
0.60
section
Mathieu group
related to Dessins d'enfants
M12
0.60
section
Mathieu group
related to Dessins d'enfants
Monsieur Mathieu
0.60
section
Mathieu group
related to Dessins d'enfants
Bruyn
0.60
section
Mathieu group
related to External links
ATLAS
0.60
section
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around Mathieu group bring nearby vocabulary together. In this analysis, examples include Groups, M12 and Isomorphic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
Mathieu group
Groups
M12
Isomorphic
Projective
Automorphism
Stabilizer
M24
Isbn
Permutation
Sporadic
M23
Special
mathieu group
Groups
M12
Sporadic
Isomorphic
Projective
Automorphism
Stabilizer
M24
Isbn
Simple
Permutation
Points
group theory
Sporadic
M12
Isomorphic
Projective
Automorphism
Stabilizer
M24
Simple
Points
Special
Steiner
Subgroup
sporadic simple groups
Mathieu
Simple
Sporadic
M22
Isomorphic
Permutation
M11
M23
Points
Isbn
Finite
M12
m12
Mathieu
M23
M24
Permutation
Steiner
Automorphism
Simple
Sporadic
M22
Order
Theory
Alternating
m24
Subgroups
Doi
Automorphism
Mathieu
Mathematical
Mr
Order
Permutation
Society
Simple
Stabilizers
Theory
permutation groups
Mathieu
Transitive
Simple
Sporadic
Permutation
Automorphism
Isbn
Finite
M12
M24
M23
Mr
mathieu groupoid m13
Groups
M12
M24
Isbn
Permutation
Sporadic
M23
Theory
M11
Simple
Transitive
Mathematical
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For Mathieu group, one of the stronger structural bridges in this analysis connects Mathieu group with Constructions of the Mathieu groups. 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 group — Constructions of the Mathieu groups· splits 31 ⟂ 21Mathieu group — Overview· splits 37 ⟂ 15Mathieu group — Multiply transitive groups· splits 43 ⟂ 9Mathieu group — History· splits 46 ⟂ 6
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
Mathieu group
Nodes52
Edges51
Triples194
Avg. degree1.96
Density0.038462
Components1
Source & methodology
TTTA analyzes the structure around Mathieu group to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Constructions of the Mathieu groups & Multiply transitive groups, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
