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Minimal 2-complexes and the D(2)-problem
Author(s):
F.
E. A.
Johnson
Journal:
Proc. Amer. Math. Soc.
132
(2004),
579-586.
MSC (2000):
Primary 55M05, 57M20;
Secondary 16D70
Posted:
September 5, 2003
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Additional information
Abstract:
We show that when  there is a minimal algebraic  -complex over the quaternion group  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  .
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
DOI:
10.1090/S0002-9939-03-07068-0
PII:
S 0002-9939(03)07068-0
Keywords:
Algebraic $2$-complexes,
non-cancellation,
minimal presentations
Received by editor(s):
December 28, 2000
Received by editor(s) in revised form:
August 22, 2002
Posted:
September 5, 2003
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2003,
American Mathematical Society
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