pro-p group


Let p be a prime number. A group G is a pro-p group if G is a profinite group which is isomorphicPlanetmathPlanetmathPlanetmath to the inverse limitMathworldPlanetmathPlanetmath of some projective system of p-groups (


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

Title pro-p group
Canonical name PropGroup
Date of creation 2013-03-22 15:09:11
Last modified on 2013-03-22 15:09:11
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 5
Author alozano (2414)
Entry type Definition
Classification msc 20E18
Synonym pro p group
Synonym pro-p group
Synonym pro p group
Related topic PGroup4