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[Vscr ][Hscr ] complexes, towers and subgroups of F×F
Published online by Cambridge University Press: 01 May 1999
Abstract
Let F be a free group. We explain the classification of finitely presented subgroups of F×F in geometric terms. The classification emerges as a special case of results concerning the structure of 2-complexes which are built out of squares and have the property that the link of each vertex has no reduced circuits whose length is odd or less than four. We obtain these results using tower arguments and elements of the theory of non-positively curved spaces.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 3 , May 1999 , pp. 481 - 497
- Copyright
- The Cambridge Philosophical Society 1999
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