Nonpositive immersions, local indicability and coherence
by
Dani Wise
McGill

A group G is locally indicable if every nontrivial finitely generated subgroup of G has an infinite cyclic quotient. A group G is coherent if every finitely generated subgroup of G is finitely presentable. I will discuss a certain Euler characteristic condition on a 2-complex X which implies that the fundamental group of X is both locally indicable and coherent.

Date received: October 12, 2002