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Statements

Subject Item
dbr:Quadratic_pair
rdf:type
dbo:Device yago:WikicatFiniteGroups yago:Abstraction100002137 yago:Group100031264
rdfs:label
Quadratic pair
rdfs:comment
In mathematical finite group theory, a quadratic pair for the odd prime p, introduced by , is a finite group G together with a quadratic module, a faithful representation M on a vector space over the finite field with p elements such that G is generated by elements with minimum polynomial (x − 1)2. Thompson classified the quadratic pairs for p ≥ 5. classified the quadratic pairs for p = 3. With a few exceptions, especially for p = 3, groups with a quadratic pair for the prime p tend to be more or less groups of Lie type in characteristic p.
dcterms:subject
dbc:Finite_groups
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29750370
dbo:wikiPageRevisionID
1105628421
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dbr:Prime_number dbr:Group_(mathematics) dbr:Journal_of_Algebra dbr:Faithful_representation dbr:Groups_of_Lie_type dbr:P-stable_group dbr:Finite_field dbr:Vector_space dbr:Minimum_polynomial dbc:Finite_groups
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dbo:abstract
In mathematical finite group theory, a quadratic pair for the odd prime p, introduced by , is a finite group G together with a quadratic module, a faithful representation M on a vector space over the finite field with p elements such that G is generated by elements with minimum polynomial (x − 1)2. Thompson classified the quadratic pairs for p ≥ 5. classified the quadratic pairs for p = 3. With a few exceptions, especially for p = 3, groups with a quadratic pair for the prime p tend to be more or less groups of Lie type in characteristic p.
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Subject Item
dbr:John_G._Thompson
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dbr:Quadratic_pair
Subject Item
dbr:Classification_of_finite_simple_groups
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dbr:Quadratic_pair
Subject Item
dbr:P-stable_group
dbo:wikiPageWikiLink
dbr:Quadratic_pair
Subject Item
dbr:Quadratic_module
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dbr:Quadratic_pair
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dbr:Quadratic_pair