Norm (group)

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In mathematics, in the field of group theory, the norm of a group is the intersection of the normalizers of all its subgroups. This is also termed the Baer norm, after Reinhold Baer.

The following facts are true for the Baer norm:


  • Baer, Reinhold. Der Kern, eine charakteristische Untergruppe, Compositio Mathematica 1: 254–283. Zbl9.15504
  • Schmidt, Roland. Subgroup Lattices of Groups. de Gruyter, 1994