Vipul at 23:16, 6 February 2012

2012-02-06T23:16:18Z

← Older revision		Revision as of 23:16, 6 February 2012
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	A subgroup <math>H</math> of a group <math>G</math> is termed '''comparable with all normal subgroups''' if, for any [[normal subgroup]] <math>N</math> of <math>G</math>, either <math>N \le H</math> or <math>H \le N</math>.		A subgroup <math>H</math> of a group <math>G</math> is termed '''comparable with all normal subgroups''' if, for any [[normal subgroup]] <math>N</math> of <math>G</math>, either <math>N \le H</math> or <math>H \le N</math>.

			==Relation with other properties==

			===Weaker properties===

			{\| class="sortable" border="1"
			! Property !! Meaning!! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions
			\|-
			\| [[Stronger than::subgroup comparable with all characteristic subgroups]] \|\| \|\| \|\| \|\|
			\|}

Vipul: New page: {{subgroup property}} ==Definition== A subgroup $H$ of a group $G$ is termed '''comparable with all normal subgroups''' if, for any normal subgroup $N$
2008-07-17T16:48:45Z

New page: {{subgroup property}} ==Definition== A subgroup <math>H</math> of a group <math>G</math> is termed '''comparable with all normal subgroups''' if, for any normal subgroup <math>N</mat...

New page
{{subgroup property}}

==Definition==

A subgroup <math>H</math> of a group <math>G</math> is termed '''comparable with all normal subgroups''' if, for any [[normal subgroup]] <math>N</math> of <math>G</math>, either <math>N \le H</math> or <math>H \le N</math>.