The adjunction problem over torsion-free groups.

نویسندگان

  • Max Forester
  • Colin Rourke
چکیده

We prove injectivity and relative asphericity for "layered" systems of equations over torsion-free groups, when the exponent matrix is invertible over Z.

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4 The adjunction problem over torsion - free groups

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 an elementary geometric proof of a result due to Bogley–Pride and Serre that is used in the proof of the main theorem. AMS Classification 20E22, 20F05; 57M20, 57Q05

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عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 102 36  شماره 

صفحات  -

تاریخ انتشار 2005