Group with operators: Difference between revisions

Revision as of 03:40, 6 March 2009

Revision as of 19:39, 15 July 2009

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==Applications==

The [[Jordan-Holder theorem]] also holds in the context of operator groups. The requirement that a group have a [[composition series]] is analagousanalogous to that of [[compact space|compactness]] in [[topology]], and can sometimes be too strong a requirement. It is natural to talk about "compactness relative to a set", i.e. talk about [[composition series]] where each (normal) subgroup is an operator-subgroup relative to the operator set ''X'', of the group in question.

==See also==