Realizing algebraic 2-complexes by cell complexes

Abstract

The realization theorem asserts that for a finitely presented group G, the D(2) property and the realization property are equivalent as long as G satisfies a certain finiteness condition. We show that the two properties are in fact equivalent for all finitely presented groups.

Paper published in peer reviewed journal in 2009

Cited by in corpus (4)

• Minimal algebraic complexes over $D_{4n}$
• Stably free modules over virtually free groups
• Explicit generators for the relation module in the example of Gruenberg-Linnell
• The D(2)-Property for some metacyclic groups