Antenna measurement: Difference between revisions

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In mathematics, in the field of group theory, a subgroup $H$ of a group $G$ is called c normal if there is a normal subgroup $T$ of $G$ such that $HT=G$ and the intersection of $H$ and $T$ lies inside the normal core of $H$ .

For a weakly c normal subgroup, we only require $T$ to be subnormal.

Here are some facts on c normal subgroups:

Y. Wang, c normality of groups and its properties, Journal of Algebra, Vol. 180 (1996), 954-965

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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>.
+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}}