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Supersingular prime (moonshine theory): Characters, Overview & Characterization

In moonshine theory, a supersingular prime is a prime number that divides the order of the Monster group M {\displaystyle M} , which is the largest sporadic simple group. There are precisely fifteen supersingular prime numbers: the first eleven primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31; as well as 41, 47, 59, and 71 (sequence A002267 in the OEIS).

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Supersingular prime (moonshine theory) topic overview

The analysis highlights Characters, Overview and Characterization as prominent areas in the source structure around Supersingular prime (moonshine theory).

Related topics
42
Source areas
4
Connected nodes
46
Related term clusters
18
Bridge connections
46

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 · 28 topics
Role in monstrous moonshine · 7 topics
Characterization · 6 topics
Other properties · 1 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.

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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

Characterization

Role in monstrous moonshine

Other properties

For the semantics nerds

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Advanced semantic analysis

How Supersingular prime (moonshine theory) connects Entity context

See recurring relationship patterns around Supersingular prime (moonshine theory) before inspecting the individual extracted relationships.

Important terminology

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Important terminology

supersingular prime displaystyle primes elliptic curve fifteen mathbb order curves theory number monster group moonshine characteristic see sporadic every many

Supersingular prime (moonshine theory) relationships Subject–Predicate–Object triples

TTTA extracted structured relationships around Supersingular prime (moonshine theory). The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc

Related concept clusters Related term clusters

The concept neighborhoods around Supersingular prime (moonshine theory) bring nearby vocabulary together. In this analysis, examples include Moonshine, Prime and Supersingular. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Supersingular prime (moonshine theory)
    • Moonshine
    • Prime
    • Supersingular
    • Primes
    • Curve
    • Elliptic
    • Modular
    • Fifteen
    • Mathbb
    • Characteristic
    • Group
    • Monster
  • supersingular prime (moonshine theory)
    • Monstrous
    • Moonshine
    • Number
    • Theory
    • Prime
    • Supersingular
    • Curve
    • Algebraic
    • Primes
    • Elliptic
    • Modular
    • Sporadic
  • prime number
    • Theory
    • Supersingular
    • Curve
    • Algebraic
    • Elliptic
    • Monstrous
    • Number
    • Prime
    • Primes
    • Fifteen
    • See
    • Characteristic
  • monster group
    • Group
    • Monster
    • Order
    • Simple
    • Sporadic
    • Moonshine
    • Number
    • Theory
    • Prime
    • Supersingular
    • Curve
    • Elliptic
  • sporadic simple group
    • Monster
    • Simple
    • Sporadic
    • Order
    • Theory
    • Moonshine
    • Number
    • Prime
    • Conditions
    • Ogg
    • Supersingular
    • Curve
  • supersingular for a given elliptic curve e {\displaystyle e}
    • Curve
    • Elliptic
    • Mathbb
    • Characteristic
    • Prime
    • Supersingular
    • Displaystyle
    • Curves
    • Primes
    • See
    • Fifteen
    • -invariants
  • supersingular elliptic curve
    • Curve
    • Elliptic
    • Characteristic
    • Prime
    • Displaystyle
    • Curves
    • Primes
    • Supersingular
    • See
    • Fifteen
    • Mathbb
    • Defined
  • modular curve
    • Elliptic
    • Genus
    • Characteristic
    • Displaystyle
    • Prime
    • Monstrous
    • Supersingular
    • See
    • Moonshine
    • Curves
    • Mathbb
    • Defined

Connections between topic areas Semantic bridges

For Supersingular prime (moonshine theory), one of the stronger structural bridges in this analysis connects Supersingular prime (moonshine theory) 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
Supersingular prime (moonshine theory) — Overview · splits 18 ⟂ 29
Supersingular prime (moonshine theory) — Role in monstrous moonshine · splits 39 ⟂ 8
Supersingular prime (moonshine theory) — Characterization · splits 40 ⟂ 7

Map overview Semantic statistics

Supersingular prime (moonshine theory)

Nodes47
Edges46
Triples0
Avg. degree1.96
Density0.042553
Components1

Source & methodology

TTTA analyzes the structure around Supersingular prime (moonshine theory) to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Characters, Overview & Characterization, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Supersingular prime (moonshine theory) · EN edition · Analysis: TopicsToTalkAbout

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