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Sylow theorems

In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow that give detailed information about the number of subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite group theory and…

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Proof of the Sylow theorems

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Sylow theorems

Nodes82
Edges81
Triples79
Avg. degree1.98
Density0.02439
Components1

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Sylow theorems

Top relations

related to Fusion results · 22
Sylow theorems → Ag, Agh, Alperin, Alperin's, Bh, Brauer, Burnside's, By Sylow's, Frattini's, G-conjugate, Gorenstein, Hence, If, Less, NG, Pg, PK, Sylow, Sylow's, The
related to External links · 12
Sylow theorems → Abstract Algebra/Group Theory/The Sylow, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Subgroup, Sylow, Theorems, Weisstein, WikibooksWeisstein, Wiktionary-logo-en-v2
related to Proof of the Sylow theorems · 12
Sylow theorems → Casadio, Gow, In, Meo, One, Scharlau, Sylow, The, The Sylow, Waterhouse, Wielandt, Zappa
related to Cyclic group orders · 11
Sylow theorems → Dp, Let, More, One, Similarly, Since, Some, Sylow, The, Then, Thus
related to Sylow theorems for infinite groups · 7
Sylow theorems → Cl, If, Let Cl, One, Sylow, Theorem, There
related to Consequences · 6
Sylow theorems → Conversely, Further, If, Sylow, The Sylow, This
related to Examples · 5
Sylow theorems → By, D2n, For, Sylow, These
related to Motivation · 4
Sylow theorems → For, From, The Sylow, This

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sylow group order theorem displaystyle finite p-subgroup subgroup prime theorems number simple groups mr zbl mod every one 10 issn

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SubjectPredicateObjectConfidenceSrc
Sylow theoremsrelated to ConsequencesIf0.60section
Sylow theoremsrelated to ConsequencesThis0.60section
Sylow theoremsrelated to ConsequencesSylow0.60section
Sylow theoremsrelated to ConsequencesThe Sylow0.60section
Sylow theoremsrelated to ConsequencesConversely0.60section
Sylow theoremsrelated to ConsequencesFurther0.60section
Sylow theoremsrelated to Cyclic group ordersSome0.60section
Sylow theoremsrelated to Cyclic group ordersOne0.60section
Sylow theoremsrelated to Cyclic group ordersSylow0.60section
Sylow theoremsrelated to Cyclic group ordersLet0.60section
Sylow theoremsrelated to Cyclic group ordersThen0.60section
Sylow theoremsrelated to Cyclic group ordersThe0.60section

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