Template:Subgroup property implication in: Difference between revisions
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{{quotation|''This article gives the statement and possibly, proof, of an implication relation between two [[subgroup property|subgroup properties]], when the big group is a [[{{{1}}}]]. That is, it states that in a [[Fact about::{{{ | {{quotation|''This article gives the statement and possibly, proof, of an implication relation between two [[subgroup property|subgroup properties]], when the big group is a [[{{{1}}}]]. That is, it states that in a [[Fact about::{{{group property}}}]], every subgroup satisfying the first subgroup property {{#if:{{{stronger|}}}|(i.e., [[Fact about::{{{stronger}}}]])}} must also satisfy the second subgroup property {{#if:{{{weaker|}}}|(i.e., [[Fact about::{{{weaker}}}]])}}''<br>[[:Category:Subgroup property implications in {{{group property}}}s|View a complete list of subgroup property implications in {{{group property}}}s]] <math>|</math> [[:Category:Subgroup property implications|View all subgroup property implications]] <math>|</math> [[:Category:Subgroup property non-implications|View all subgroup property non-implications]]}}<includeonly>[[Category: Subgroup property implications]][[Category:Subgroup property implications in {{{group property}}}s]]</includeonly><noinclude>[[Category: Property implication specification templates]]</noinclude> | ||
Revision as of 10:51, 8 August 2008
This article gives the statement and possibly, proof, of an implication relation between two subgroup properties, when the big group is a [[{{{1}}}]]. That is, it states that in a , every subgroup satisfying the first subgroup property must also satisfy the second subgroup property
[[:Category:Subgroup property implications in {{{group property}}}s|View a complete list of subgroup property implications in {{{group property}}}s]] View all subgroup property implications View all subgroup property non-implications