Vipul: Created page with "{{group-subgroup property conjunction|normal subgroup|locally nilpotent group}} ==Definition== A subgroup of a group is termed a '''locally nilpotent normal subgroup..."

2012-03-23T01:47:39Z

Created page with "{{group-subgroup property conjunction|normal subgroup|locally nilpotent group}} ==Definition== A subgroup of a group is termed a '''locally nilpotent normal subgroup..."

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{{group-subgroup property conjunction|normal subgroup|locally nilpotent group}}

==Definition==

A [[subgroup]] of a [[group]] is termed a '''locally nilpotent normal subgroup''' if it is [[defining ingredient::locally nilpotent group|locally nilpotent]] as a group, and [[defining ingredient::normal subgroup|normal as a subgroup]].

==Facts==

* The subgroup generated by all locally nilpotent normal subgroups is the unique largest locally nilpotent normal subgroup of the group, and is termed the [[Hirsch-Plotkin radical]] of the group.

Locally nilpotent normal subgroup - Revision history

Vipul: Created page with "{{group-subgroup property conjunction|normal subgroup|locally nilpotent group}} ==Definition== A subgroup of a group is termed a '''locally nilpotent normal subgroup..."