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[Vscr ][Hscr ] complexes, towers and subgroups of F×F

Published online by Cambridge University Press:  01 May 1999

MARTIN R. BRIDSON  and
DANIEL T. WISE
MARTIN R. BRIDSON
Affiliation:
Mathematical Institute, 24–29 St Giles', Oxford, OX1 3LB; e-mail: [email protected]
DANIEL T. WISE
Affiliation:
White Hall, Cornell University, Ithaca, NY 14853; e-mail: [email protected]
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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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