Bounded-nilpotent IAPS: Difference between revisions
No edit summary |
|||
| Line 8: | Line 8: | ||
==Definition== | ==Definition== | ||
A ''bounded-nilpotent IAPS''' is an [[IAPS of groups]] such that the following equivalent conditions are satisfied: | A '''bounded-nilpotent IAPS''' is an [[IAPS of groups]] such that the following equivalent conditions are satisfied: | ||
* The [[lower central sub-IAPS series]] terminates, in finitely many steps, at the trivial sub-IAPS | * The [[lower central sub-IAPS series]] terminates, in finitely many steps, at the trivial sub-IAPS | ||
Revision as of 21:23, 14 September 2007
This term is related to: APS theory
View other terms related to APS theory | View facts related to APS theory
This article defines a property that can be evaluated for an IAPS of groups
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
ANALOGY: This is an analogue in IAPSs of the group property:
View other analogues of nilpotent group | View other analogues in IAPSs of group properties
Definition
A bounded-nilpotent IAPS is an IAPS of groups such that the following equivalent conditions are satisfied:
- The lower central sub-IAPS series terminates, in finitely many steps, at the trivial sub-IAPS
- Every member is a nilpotent group and there is a common finite bound on the nilpotence class of all members