metacyclic group


A metacyclic groupMathworldPlanetmath is a group G that possesses a normal subgroupMathworldPlanetmath N such that N and G/N are both cyclic.



SubgroupsMathworldPlanetmathPlanetmath ( and quotientsPlanetmathPlanetmath ( of metacyclic groups are also metacyclic.

Metacyclic groups are obviously supersolvable, with Hirsch length at most 2.

Title metacyclic group
Canonical name MetacyclicGroup
Date of creation 2013-03-22 15:36:39
Last modified on 2013-03-22 15:36:39
Owner yark (2760)
Last modified by yark (2760)
Numerical id 5
Author yark (2760)
Entry type Definition
Classification msc 20F16
Defines metacyclic