Minimal characteristic implies central in nilpotent
This article gives the statement and possibly, proof, of an implication relation between two subgroup properties, when the big group is a [[{{{group property}}}]]. That is, it states that in a "{{{group property}}}" is not a number., every subgroup satisfying the first subgroup property must also satisfy the second subgroup property . In other words, every is a .
[[:Category:Subgroup property implications in {{{group property}}}s|View all subgroup property implications in {{{group property}}}s]] [[:Category:Subgroup property non-implications in {{{group property}}}s|View all subgroup property non-implications in {{{group property}}}s]] View all subgroup property implications View all subgroup property non-implications
[[Category:Subgroup property implications in {{{group property}}}s]]
Statement
In a nilpotent group, any Minimal characteristic subgroup (?) is central: it is contained in the center of the whole group.