Vipul: Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup $H$ of a group $G$ is termed a '''left-transitively isomorph-containing subgroup''' if, when…'

2009-08-11T00:09:01Z

Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup <math>H</math> of a group <math>G</math> is termed a '''left-transitively isomorph-containing subgroup''' if, when…'

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{{wikilocal}}
{{subgroup property}}

==Definition==

A subgroup <math>H</math> of a group <math>G</math> is termed a '''left-transitively isomorph-containing subgroup''' if, whenever <math>G</math> is an [[isomorph-containing subgroup]] of a group <math>K</math>, <math>H</math> is also an isomorph-containing subgroup of <math>K</math>.

==Relation with other properties==

===Weaker properties===

* [[Stronger than::Isomorph-containing subgroup]]
* [[Stronger than::Characteristic subgroup]]
* [[Stronger than::Normal subgroup]]

Left-transitively isomorph-containing subgroup - Revision history

Vipul: Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup H of a group G is termed a '''left-transitively isomorph-containing subgroup''' if, when…'

Vipul: Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup $H$ of a group $G$ is termed a '''left-transitively isomorph-containing subgroup''' if, when…'