Category: Group Theory
-
Why Is the Intersection of Two Subgroups Always a Subgroup?
Why does this always work? The subgroup test gives us a short proof.
-
What Is the Centralizer of an Element in Group Theory?
In group theory, the centralizer of an element tells us which elements of the group commute with it. For an element aa in a group GG, the centralizer CG(a)C_G(a) is the set of all xx in GG such that xa=axxa…