Contranormal subgroup

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In mathematics, in the field of group theory, a contranormal subgroup is a subgroup whose normal closure in the group is the whole group.[1] Clearly, a contranormal subgroup can be normal only if it is the whole group.

Some facts:


  1. ^ Rose 1968, p. 97


  • Rose, John S. (1968), "Nilpotent Subgroups of Finite Soluble Groups", Math. Z., 106: 97–112