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Hypoabelian group information


Hypoabelian group or Hypoabelian may refer to:

  • "Hypoabelian group", an archaic name for an orthogonal group over a field of characteristic 2
  • A hypoabelian group, a group whose perfect core is trivial

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Hypoabelian group

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Hypoabelian group or Hypoabelian may refer to: "Hypoabelian group", an archaic name for an orthogonal group over a field of characteristic 2 A hypoabelian...

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Solvable group

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derived series reaches the trivial group is called a hypoabelian group, and every solvable group is a hypoabelian group. The first ordinal α such that G(α)...

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Commutator subgroup

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infinite, is called a hypoabelian group; this is weaker than solvable, which is the case α is finite (a natural number). Whenever a group G {\displaystyle...

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Perfect core

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any group. A group whose perfect core is trivial is termed a hypoabelian group. Every solvable group is hypoabelian, and so is every free group. More...

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List of finite simple groups

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groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups....

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Orthogonal group

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section. (Formerly these groups were known as the hypoabelian groups, but this term is no longer used.) Any orthogonal group over any field is generated...

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