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Self-centralizing subgroup
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Term
2010-04-04T15:39:37Z
2455291.1525116
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup property implications]]
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup property non-implications]]
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup metaproperty satisfactions]]
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup metaproperty dissatisfactions]]
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup property satisfactions]]
Self-centralizing subgroup
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[[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup property dissatisfactions]]
Self-centralizing subgroup
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[[Uses property satisfaction of::Self-centralizing subgroup]]
Self-centralizing subgroup
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[[Proves property satisfaction of::Self-centralizing subgroup]]
Self-centralizing subgroup
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[[Variation of::Self-centralizing subgroup]] [[Satisfies metaproperty::Intermediate subgroup condition]]
Self-centralizing subgroup
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[[Variation of::Self-centralizing subgroup]] [[Dissatisfies metaproperty::Intermediate subgroup condition]]
Self-centralizing subgroup
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[[Satisfies metaproperty::Intermediate subgroup condition]]
Self-centralizing subgroup
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[[Fact about.Page::Intermediate subgroup condition]]
Self-centralizing subgroup
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[[Satisfies metaproperty::Upward-closed subgroup property]]
Self-centralizing subgroup
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[[Variation of::Self-centralizing subgroup]] [[Satisfies metaproperty::Join-closed subgroup property]]
Self-centralizing subgroup
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[[Variation of::Self-centralizing subgroup]] [[Dissatisfies metaproperty::Join-closed subgroup property]]
Self-centralizing subgroup
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[[Satisfies metaproperty::Join-closed subgroup property]]
Self-centralizing subgroup
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[[Satisfies metaproperty::Strongly join-closed subgroup property]]
Self-centralizing subgroup
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[[Dissatisfies metaproperty::Join-closed subgroup property]]
Self-centralizing subgroup
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[[Satisfies metaproperty::GAP-codable subgroup property]]
Self-centralizing subgroup
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[[Satisfies metaproperty::GAP-testable subgroup property]]
Self-centralizing subgroup
Centralizer-free subgroup
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Centralizer-free subgroup
Maximal among abelian subgroups
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Maximal among abelian subgroups
Self-centralizing normal subgroup
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Self-centralizing normal subgroup
C-closed self-centralizing subgroup
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C-closed self-centralizing subgroup
Self-centralizing direct factor
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Self-centralizing direct factor
Centralizer-free subgroup
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Centralizer-free subgroup
Maximal among abelian subgroups
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Maximal among abelian subgroups
NSCFN-subgroup
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NSCFN-subgroup
CSCFN-subgroup
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CSCFN-subgroup
Self-centralizing normal subgroup
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Self-centralizing normal subgroup
C-closed self-centralizing subgroup
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C-closed self-centralizing subgroup
P-constrained group
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P-constrained group
Self-centralizing direct factor
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Self-centralizing direct factor
Centrally large subgroup
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Centrally large subgroup
Centric subgroup for a fusion system
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Centric subgroup for a fusion system
Centralizer-free subgroup
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Centralizer-free subgroup
Self-normalizing subgroup
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Self-normalizing subgroup
Maximal among abelian subgroups
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Maximal among abelian subgroups
C-closed self-centralizing subgroup
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C-closed self-centralizing subgroup
Self-centralizing direct factor
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Self-centralizing direct factor
Centrally large subgroup
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Centrally large subgroup
Maximal among abelian normal implies self-centralizing in supersolvable
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Maximal among abelian normal implies self-centralizing in supersolvable
Thompson's critical subgroup theorem
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Thompson's critical subgroup theorem
Maximal among abelian normal implies self-centralizing in nilpotent
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Maximal among abelian normal implies self-centralizing in nilpotent
Central product decomposition lemma for characteristic rank one
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Central product decomposition lemma for characteristic rank one
Solvable implies Fitting subgroup is self-centralizing
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Solvable implies Fitting subgroup is self-centralizing
Abelian permutable complement to core-free subgroup is-self-centralizing
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Abelian permutable complement to core-free subgroup is-self-centralizing
Diagonal subgroup is self-centralizing in general linear group
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Diagonal subgroup is self-centralizing in general linear group
Pi-separable and pi'-core-free implies pi-core is self-centralizing
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Pi-separable and pi'-core-free implies pi-core is self-centralizing
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Maximal among abelian normal implies self-centralizing in supersolvable#Self-centralizing subgroup
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Normal and self-centralizing implies coprime automorphism-faithful#Self-centralizing subgroup
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Characteristic and self-centralizing implies coprime automorphism-faithful#Self-centralizing subgroup
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Thompson's critical subgroup theorem#Self-centralizing subgroup
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Thompson's critical subgroup theorem#Self-centralizing subgroup;2
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Maximal among abelian normal implies self-centralizing in nilpotent#Self-centralizing subgroup
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Central product decomposition lemma for characteristic rank one#Self-centralizing subgroup
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Solvable implies Fitting subgroup is self-centralizing#Self-centralizing subgroup;2
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Solvable implies Fitting subgroup is self-centralizing#Self-centralizing subgroup
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Abelian permutable complement to core-free subgroup is-self-centralizing#Self-centralizing subgroup
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Self-centralizing and minimal normal implies characteristic#Self-centralizing subgroup
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Self-centralizing and minimal normal implies monolith#Self-centralizing subgroup
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Self-centralizing and minimal normal implies strictly characteristic#Self-centralizing subgroup
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Normal and self-centralizing implies normality-large#Self-centralizing subgroup
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Diagonal subgroup is self-centralizing in general linear group#Self-centralizing subgroup
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Maximal implies central factor or self-centralizing#Self-centralizing subgroup
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Maximal implies cocentral or self-centralizing#Self-centralizing subgroup
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Analogue of critical subgroup theorem for finite solvable groups#Self-centralizing subgroup
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Extraspecial implies inner automorphism group is self-centralizing in automorphism group#Self-centralizing subgroup
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Pi-separable and pi'-core-free implies pi-core is self-centralizing#Self-centralizing subgroup
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Analogue of critical subgroup theorem for infinite abelian-by-nilpotent p-groups#Self-centralizing subgroup
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Self-centralizing and minimal normal implies fully invariant in co-Hopfian group#Self-centralizing subgroup
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Abelian implies self-centralizing in holomorph#Self-centralizing subgroup
Proving that a subgroup is self-centralizing
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Proving that a subgroup is self-centralizing
Self-centralizing Lie subring
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Self-centralizing Lie subring
Subgroup not contained in a proper direct factor
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Subgroup not contained in a proper direct factor
Subgroup not contained in a proper central factor
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Subgroup not contained in a proper central factor
Cyclic maximal subgroup of dihedral group:D8
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Cyclic maximal subgroup of dihedral group:D8
A4 in A5
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A4 in A5
S2 in S3
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S2 in S3
Non-normal Klein four-subgroups of symmetric group:S4
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Non-normal Klein four-subgroups of symmetric group:S4
Twisted S3 in A5
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Twisted S3 in A5
Klein four-subgroup of alternating group:A5
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Klein four-subgroup of alternating group:A5
A3 in A5
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A3 in A5
2-Sylow subgroup of general linear group:GL(2,3)
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2-Sylow subgroup of general linear group:GL(2,3)
SL(2,3) in GL(2,3)
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SL(2,3) in GL(2,3)
Conjunction involving
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Conjunction involving
Defining ingredient
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Defining ingredient
Stronger than
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Stronger than
Proves property satisfaction of
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Proves property satisfaction of
Page
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Page
Survey article about
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Survey article about
Analogue of
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Analogue of
Weaker than
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Weaker than
Satisfies property
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Satisfies property