# Hall implies order-dominating in finite solvable

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Revision as of 22:47, 18 July 2008 by Vipul (talk | contribs) (New page: {{subgroup property implication in|finite solvable group}} ==Statement== In a finite solvable group, every Hall subgroup is order-dominating. ==Fac...)

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[[Category:Subgroup property implications in {{{group property}}}s]]"{{{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

## Statement

In a finite solvable group, every Hall subgroup is order-dominating.