Jump to content

Centrally closed subgroup

From Wikipedia, the free encyclopedia

In mathematics, in the realm of group theory, a subgroup of a group is said to be centrally closed if the centralizer of any non identity element of the subgroup lies inside the subgroup. This property is useful in understanding group structures, normalizers, and Galois theory. Centrally closed subgroups are related to commutators and play a role in analyzing group symmetries and field extensions.

Some facts about centrally closed subgroups:

References

[edit]