Nilpotency class: Difference between revisions

Revision as of 15:23, 26 March 2008

This article defines an arithmetic function on a restricted class of groups, namely: nilpotent groups

For a nilpotent group, the nilpotency class or nilpotence class is defined in any of the following equivalent ways:

A group is said to be of class $c$ if its nilpotence class is less than or equal to $c$ .

@@ Line 5: / Line 5: @@
 ===Symbol-free definition===
-For a [[nilpotent group]], the '''nilpotence class''' is defined in any of the following equivalent ways:
+For a [[nilpotent group]], the '''nilpotency class''' or '''nilpotence class''' is defined in any of the following equivalent ways:
 * It is the length of the [[upper central series]]