Stem extension

From Groupprops
Revision as of 22:38, 14 April 2010 by Vipul (talk | contribs) (Created page with '==Definition== ===Definition with symbols=== A ''stem extension''' of a group <math>G</math> is a group <math>E</math> along with a surjective homomorphism <math>\rho:E \to…')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Definition

Definition with symbols

A stem extension' of a group G is a group E along with a surjective homomorphism ρ:E→G such that the kernel of ρ is contained in the intersection of the center and the derived subgroup of E.

A stem extension is a particular kind of central extension.

Retrieved from "https://groupprops.subwiki.org/w/index.php?title=Stem_extension&oldid=24646"