procyclic group


A group G is a procyclic group if G is a profinite group which is isomorphicPlanetmathPlanetmathPlanetmathPlanetmath to the inverse limitMathworldPlanetmathPlanetmath of some projective system of cyclic groupsMathworldPlanetmath.


The p-adic integers ( p form a procyclic group since:

Title procyclic group
Canonical name ProcyclicGroup
Date of creation 2013-03-22 15:09:14
Last modified on 2013-03-22 15:09:14
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 5
Author alozano (2414)
Entry type Definition
Classification msc 20E18
Synonym pro-cyclic group
Synonym pro-cyclic
Synonym procyclic