Definition of Contranormal. Meaning of Contranormal. Synonyms of Contranormal

- of group theory, a contranormal subgroup is a subgroup whose normal closure in the group is the whole group. Clearly, a contranormal subgroup can be normal...
- {\displaystyle G} . Normalizer Conjugate closure Normal core Malnormal subgroup Contranormal subgroup Abnormal subgroup Self-normalizing subgroup Characteristic subgroup...
- if there is a g ∈ G such that gH1g−1 = H2. contranormal subgroup A subgroup of a group G is a contranormal subgroup of G if its normal closure is G itself...
- Every abnormal subgroup is a self-normalizing subgroup, as well as a contranormal subgroup. The only normal subgroup that is also abnormal is the whole...