Minimal 2-complexes and the D(2)-problem
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- by F. E. A. Johnson PDF
- Proc. Amer. Math. Soc. 132 (2004), 579-586 Request permission
Abstract:
We show that when $n\geq 5$ there is a minimal algebraic $2$-complex over the quaternion group $Q(2^n)$ which is not homotopy equivalent to the Cayley complex of the standard minimal presentation. This raises the possibility that Wall’s D(2)-property might fail for $Q(2^n)$.References
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Additional Information
- F. E. A. Johnson
- Affiliation: Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
- Email: feaj@math.ucl.ac.uk
- Received by editor(s): December 28, 2000
- Received by editor(s) in revised form: August 22, 2002
- Published electronically: September 5, 2003
- Communicated by: Ronald A. Fintushel
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 579-586
- MSC (2000): Primary 55M05, 57M20; Secondary 16D70
- DOI: https://doi.org/10.1090/S0002-9939-03-07068-0
- MathSciNet review: 2022384