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Norm (group)

From Wikipedia, the free encyclopedia

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:

References

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  • Baer, Reinhold (1934). "Der Kern, eine charakteristische Untergruppe". Compositio Mathematica. 1: 254–283.
  • Schmidt, Roland (1994). Subgroup Lattices of Groups. Walter de Gruyter. ISBN 9783110112139.