essential subgroup

A subgroupMathworldPlanetmathPlanetmath H of a group G is essential if HK{e} for any subgroup K of G, K{e} (i.e., a subgroup H of G is called essential if it intersects non-trivially every non-trivial subgroup of G).

Title essential subgroup
Canonical name EssentialSubgroup
Date of creation 2013-03-22 15:31:05
Last modified on 2013-03-22 15:31:05
Owner gh0st (10693)
Last modified by gh0st (10693)
Numerical id 5
Author gh0st (10693)
Entry type Definition
Classification msc 20F99
Related topic Group
Related topic Subgroup
Related topic EssentialSubmodule