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A Dedekind group is a specific type of group in the field of abstract algebra, characterized by certain structural properties. The most common definition is that a Dedekind group is a group in which every subgroup is normal. This means that for any subgroup \( H \) of a Dedekind group \( G \), the condition \( gHg^{-1} = H \) holds for every element \( g \) in \( G \).

Ancestors (5)

  1. Group theory
  2. Fields of abstract algebra
  3. Fields of mathematics
  4. Mathematics
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