Subgroup properties

Computing portal

Here is a list of articles in the category Subgroup properties of the Computing portal that unifies foundations of mathematics and computations using computers. Subgroup properties are properties of subgroups of a group. These properties are assumed to satisfy only one condition : they must be invariant up to commuting isomorphism. That is, if [math]\displaystyle{ G }[/math] and [math]\displaystyle{ G' }[/math] are isomorphic groups, and [math]\displaystyle{ H }[/math] is a subgroup of [math]\displaystyle{ G }[/math] whose image under the isomorphism is [math]\displaystyle{ H' }[/math] then [math]\displaystyle{ H }[/math] has the property in [math]\displaystyle{ G }[/math] if and only if [math]\displaystyle{ H' }[/math] has the property in [math]\displaystyle{ G' }[/math].