From Wikipedia, the free encyclopedia

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:

References

  1. ^ Rose 1968, p. 97

Bibliography

  • Rose, John S. (1968), "Nilpotent Subgroups of Finite Soluble Groups", Math. Z., 106 (2): 97–112, doi: 10.1007/BF01110717, S2CID  122382903


From Wikipedia, the free encyclopedia

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:

References

  1. ^ Rose 1968, p. 97

Bibliography

  • Rose, John S. (1968), "Nilpotent Subgroups of Finite Soluble Groups", Math. Z., 106 (2): 97–112, doi: 10.1007/BF01110717, S2CID  122382903



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