Commuting product: Difference between revisions

Latest revision as of 23:19, 7 May 2008

Redirect to:

@@ Line 1: / Line 1: @@
-{{subgroup-defining function}}
+#redirect [[Layer]]
-==Definition==
-===Symbol-free definition===
-The '''commuting product''' of a group is defined as the product of all its [[component]]s.
-===Definition with symbols===
-The '''commuting product''' of a group <math>G</math>, sometimes denoted as <math>E(G)</math>, is defined as the product of all subgroups <math>H</math> of <math>G</math> that are [[quasisimple group|quasisimple]] as abstract groups and [[subnormal subgroup|subnormal]] as subgroups of <math>G</math>.
-==Relation with other subgroup-defining functions==
-* [[Generalized Fitting subgroup]] is defined as the product of the commuting product and the [[Fitting subgroup]].