Antenna measurement: Difference between revisions

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In [[mathematics]], in the field of [[group theory]], a [[subgroup]] <math>H</math> of a [[group (mathematics)|group]] <math>G</math> is called '''c normal''' if there is a [[normal subgroup]] <math>T</math> of <math>G</math> such that <math>HT = G</math> and the intersection of <math>H</math> and <math>T</math> lies inside the [[normal core]] of <math>H</math>.
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For a '''weakly c normal subgroup''', we only require <math>T</math> to be [[subnormal subgroup|subnormal]].
 
Here are some facts on c normal subgroups:
 
*Every [[normal subgroup]] is c normal
*Every [[retract (group theory)|retract]] is c normal
*Every c normal subgroup is weakly c normal
 
==References==
* Y. Wang, c normality of groups and its properties, Journal of Algebra, Vol. 180 (1996), 954-965
 
[[Category:Subgroup properties]]
 
 
{{Abstract-algebra-stub}}

Latest revision as of 07:39, 21 November 2014

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