The adjunction problem over torsion-free groups

Details The adjunction problem over torsion-free groups The adjunction problem over torsion-free groups

2004-12-14

arxiv.org/abs/math/0412274v2

Published as two papers: PNAS 102 (2005) 12670-1 and Enseign. Math. 51 (2005) 231-7

Mathematics

Group Theory

7 pages, hyperlinked latex. Version 2: proof of Serre's theorem added

Scientific paper

10.1073/pnas.0502940102

In this note we prove injectivity and relative asphericity for "layered"
systems of equations over torsion-free groups, when the exponent matrix is
invertible over Z. We also give elementary geometric proofs of results due to
Bogley-Pride and Serre that are used in the proof of the main theorem.

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