# Difference between revisions of "Finite subnormal subgroup"

From Groupprops

(New page: {{group-subgroup property conjunction|subnormal subgroup|finite group}} ==Definition== A subgroup of a group is termed a '''finite subnormal subgroup''' if it is [[finite group|f...) |
(→Relation with other properties) |
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* [[Stronger than::Finitely generated subnormal subgroup]] | * [[Stronger than::Finitely generated subnormal subgroup]] | ||

− | + | * [[Stronger than::Subnormal subgroup]] | |

===Related properties=== | ===Related properties=== | ||

* [[Stronger than::Subnormal subgroup of finite index]] | * [[Stronger than::Subnormal subgroup of finite index]] |

## Revision as of 13:13, 27 March 2009

This article describes a property that arises as the conjunction of a subgroup property: subnormal subgroup with a group property (itself viewed as a subgroup property): finite group

View a complete list of such conjunctions

## Contents

## Definition

A subgroup of a group is termed a **finite subnormal subgroup** if it is finite as a group and subnormal as a subgroup.