bifil
Bifil refers to a concept within abstract algebra, specifically related to the study of group theory. It is a property that a group can possess, and it is defined in relation to subgroups and their intersections. A group G is said to be bifil if for every pair of subgroups H and K of G, the intersection of H and K is also a subgroup of G.
In simpler terms, imagine you have a group, which is a set of elements with an operation
This property is not universally true for all groups. Many groups are not bifil. For example, in
The bifil property is significant because it simplifies certain structural investigations within group theory. If a