Antenna measurement: Difference between revisions

Revision as of 22:10, 31 July 2013

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 $H T = G$ 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

@@ Line 1: / Line 1: @@
-Hi there, I am Sophia. Distributing production is exactly where her primary income arrives from. Mississippi is the only location I've been residing in but I will have to move in a year or two. What me and my family adore is bungee jumping but I've been taking on new things lately.<br><br>Here is my homepage; love psychics ([http://www.octionx.sinfauganda.co.ug/node/22469 http://www.octionx.sinfauganda.co.ug/])
+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}}